Výsledky vyhledávání - Linear operators on spaces with an indefinite metric

On positive vectors in indefinite inner product spaces

Autoři: Fabio Bagarello Sergiusz Kużel

Zdroj: Bulletin of Mathematical Sciences, Vol 15, Iss 01 (2025)

Témata: positive vectors, 46C20, 47B50, 47D03, semi-group of operators, FOS: Physical sciences, Mathematical Physics (math-ph), indefinite inner product space, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Linear operators on spaces with an indefinite metric, Groups and semigroups of linear operators, unitary operators, 0103 physical sciences, QA1-939, FOS: Mathematics, Indefinite inner product space, 0101 mathematics, Mathematics, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2411.04247
https://doaj.org/article/b2b0491b745e426c8eff0e0a0d8eaa93

Remarks on Numerical Ranges of Operators in Spaces with an Indefinite Metric

Autoři: Li, Chi-Kwong Rodman, Leiba

Zdroj: Proceedings of the American Mathematical Society, 1998 Apr 01. 126(4), 973-982.

Přístupová URL adresa: https://www.jstor.org/stable/118604

On properties of linear operators of certain classes in rigged spaces with indefinite metric

Autoři: V. A. Senderov V. A. Khatskevich

Zdroj: Integral Equations and Operator Theory. 15:301-324

Témata: Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), sufficient conditions for boundedness, spaces with indefinite metric, 0103 physical sciences, semiunitary operator, 0101 mathematics, 01 natural sciences, Equations and inequalities involving linear operators, with vector unknowns, rigged space

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007%2FBF01204240
https://link.springer.com/content/pdf/10.1007/BF01204240.pdf

THE HELMHOLTZ RESONATOR AND THE THEORY OF OPERATOR EXTENSIONS IN A SPACE WITH INDEFINITE METRIC: The Helmholtz resonator and the theory of operator extensions in a space with indefinite metric

Autoři: I Yu Popov

Zdroj: Russian Academy of Sciences. Sbornik Mathematics. 75:285-315

Témata: Linear operators on spaces with an indefinite metric, Dirichlet and Neumann problems, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Dilations, extensions, compressions of linear operators, selfadjoint extensions of symmetric operators, 0101 mathematics, Green functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/1993SbMat..75..285P/abstract
https://iopscience.iop.org/article/10.1070/SM1993v075n02ABEH003386/meta

Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces

Autoři: David Shoikhet Simeon Reich Victor Khatskevich

Zdroj: Integral Equations and Operator Theory. 22:305-316

Témata: Linear operators on spaces with an indefinite metric, Fixed-point theorems, one-parameter semigroups in Banach spaces, One-parameter semigroups and linear evolution equations, fixed point for holomorphic mappings, spaces with an indefinite metric, 0101 mathematics, Infinite-dimensional holomorphy, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007%2FBF01378779

On Polynomials in Self-Adjoint Operators in Spaces with an Indefinite Metric

Autoři: Lo, C. Y.

Zdroj: Transactions of the American Mathematical Society, 1968 Nov 01. 134(2), 297-304.

Přístupová URL adresa: https://www.jstor.org/stable/1994743

Linear operators in spaces with indefinite metric and their applications

Autoři: T. Ya. Azizov I. S. Iokhvidov

Zdroj: Journal of Soviet Mathematics. 15:438-490

Témata: extension theory, Invariant subspaces of linear operators, Research exposition (monographs, survey articles) pertaining to operator theory, Pontrjagin spaces, spectral theory, Krein spaces, 01 natural sciences, Miscellaneous applications of functional analysis, Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), invariant subspace problems, indefinite inner product spaces, Spectrum, resolvent, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3751661
https://doi.org/10.1007/bf01375563
https://link.springer.com/article/10.1007%2FBF01375563

Book Review: Linear operators in spaces with an indefinite metric

Autoři: Rodman, Leiba

Zdroj: Bull. Amer. Math. Soc. (N.S.) 25, no. 1 (1991), 111-123

Témata: 0103 physical sciences, 0101 mathematics, 01 natural sciences

Popis souboru: application/pdf

Přístupová URL adresa: https://www.ams.org/journals/bull/1991-25-01/S0273-0979-1991-16039-8/S0273-0979-1991-16039-8.pdf
https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-25/issue-1/Review--T-Ya-Azizov-and-I-S-Iokhvidov-Linear/bams/1183657054.full
https://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.bams/1183657054
https://www.ams.org/journal-getitem?pii=S0273-0979-1991-16039-8
https://projecteuclid.org/download/pdf_1/euclid.bams/1183657054
http://projecteuclid.org/euclid.bams/1183657054

On Krein's formula in indefinite metric spaces

Autoři: Eduard Tsekanovskii Sergey Belyi

Zdroj: Linear Algebra and its Applications. 389:305-322

Témata: Indefinite metrics, Numerical Analysis, Algebra and Number Theory, 01 natural sciences, Krein's formula, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Linear operators on spaces with an indefinite metric, Pontryagin space, Discrete Mathematics and Combinatorics, Dilations, extensions, compressions of linear operators, Geometry and Topology, Spectrum, resolvent, 0101 mathematics, indefinite metrics

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0024379504001569
https://www.sciencedirect.com/science/article/abs/pii/S0024379504001569
https://core.ac.uk/display/82521724

On Indefinite Moment Problems and Resolvent Matrices of Hermitian Operators in Kreîn Spaces: Indefinite moment problem and resolvent matrices of Hermitian operators in Krein spaces

Autoři: Vladimir Derkach

Zdroj: Mathematische Nachrichten. 184:135-166

Témata: L-resolvents, spaces with indefinite metric, symmetric operators in spaces with indefinite metric, Hermitian operators, 01 natural sciences, continued fraction, Linear operators on spaces with an indefinite metric, indefinite moment problem, symmetric operators, Hankel matrices, Stieltjes string, Moment problems, Krein space, Kreĭn-Langer extension, Hermitian and normal operators (spectral measures, functional calculus, etc.), Spectrum, resolvent, Krein-Langer extension, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1104607
http://onlinelibrary.wiley.com/doi/10.1002/mana.19971840106/abstract

Some Spectral Properties of Contractive and Expansive Operators in Indefinite Inner Product Spaces: Some spectral properties of contractive and expansive operators in indefinite inner product spaces

Autoři: T. Ja. Azizov Heinz Langer

Zdroj: Mathematische Nachrichten. 162:247-256

Témata: Linear operators on spaces with an indefinite metric, Pontrjagin space, expansive operators, contractive, contraction, indefinite inner product spaces, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/622383
https://doi.org/10.1002/mana.19931620119
http://onlinelibrary.wiley.com/doi/10.1002/mana.19931620119/pdf
http://doi.wiley.com/10.1002/mana.19931620119

Linear maps preserving G-unitary operators in Hilbert space

Autoři: Abdellatif Chahbi Samir Kabbaj

Zdroj: Arab Journal of Mathematical Sciences, Vol 21, Iss 1, Pp 109-117 (2015)

Témata: Linear preserver, Jordan homomorphisms, Operators on spaces with an indefinite metric, Unitary operators, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S131951661400005X; https://doaj.org/toc/1319-5166

Přístupová URL adresa: https://doaj.org/article/6cedf33064a440fab1a2cc8e67213f4f

Canonical Linear Transformation on Fock Space with an Indefinite Metric: Canonical linear transformation on Fock space with an indefinite metric

Autoři: Keiichi R. Ito

Zdroj: Publications of the Research Institute for Mathematical Sciences. 14:503-556

Témata: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Fock Space with An Indefinite Metric, Cannonical Linear Transformations, Time-Evolution of the System By the Model Hamiltonian, Linear operators on spaces with an indefinite metric, Constructive quantum field theory, Weakly 0-Unitarily Implementable, 0101 mathematics, 0-Unitarily Implementable, 01 natural sciences, Mass-Shift Model

Popis souboru: application/xml

Přístupová URL adresa: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=14&iss=2&rank=13
https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/86538/1/D_Ito_Keiichi.pdf
https://zbmath.org/3599009
https://doi.org/10.1007/bf00400159
https://link.springer.com/content/pdf/10.1007/BF00400159.pdf
http://ui.adsabs.harvard.edu/abs/1978LMaPh...2..349I/abstract
https://link.springer.com/article/10.1007/BF00400159
https://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/86538
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=14&iss=2&rank=13
https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/86538/1/D_Ito_Keiichi.pdf
http://ci.nii.ac.jp/naid/130003584633
https://ci.nii.ac.jp/naid/130003584633
http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=14&iss=2&rank=13

INDEFINITE METRICS AND DICHOTOMY OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS IN HILBERT SPACES

Autoři: Khatskevich, Victor Zelenko, Leonid

Zdroj: Chinese Journal of Mathematics, 1996 Jun 01. 24(2), 99-112.

Přístupová URL adresa: https://www.jstor.org/stable/43836609

Singular numbers of contractions in spaces with an indefinite metric and Yamamoto's theorem

Autoři: A. Ben-Artzi Israel Gohberg

Zdroj: Linear Algebra and its Applications. 290:31-48

Témata: Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, \(G\)-bounded matrix, singular numbers, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Singular numbers, hermitian pencil, Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), approximation property, Discrete Mathematics and Combinatorics, indefinite inner product spaces, Geometry and Topology, 0101 mathematics, Quadratic and bilinear forms, inner products, Indefinite inner product spaces, Riesz operators, eigenvalue distributions, approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1331365
https://doi.org/10.1016/s0024-3795(98)10187-8
https://www.sciencedirect.com/science/article/pii/S0024379598101878
https://www.sciencedirect.com/science/article/abs/pii/S0024379598101878

The order of neutrality for linear operators on inner product spaces

Autoři: Peter Lancaster Peter Zizler Alexander Markus

Zdroj: Linear Algebra and its Applications. 259:25-29

Témata: Linear symmetric and selfadjoint operators (unbounded), Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Numerical Analysis, Algebra and Number Theory, Pontryagin spaces, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, Krein spaces, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1044224
https://doi.org/10.1016/s0024-3795(96)00239-x
https://www.sciencedirect.com/science/article/pii/S002437959600239X#!
https://www.sciencedirect.com/science/article/pii/S002437959600239X

Locally definite operators in indefinite inner product spaces

Autoři: Heinz Langer Vladimir Matsaev Alexander Markus

Zdroj: Mathematische Annalen. 308:405-424

Témata: selfadjoint operator, Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Perturbation theory of linear operators, spectral points, Krein space, compact selfadjoint perturbation, indefinite inner product spaces, spectral function, 0101 mathematics, definitizable operator, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1057246
https://doi.org/10.1007/s002080050082
https://link.springer.com/article/10.1007%2Fs002080050082

Classification of normal operators in spaces with indefinite scalar product of rank 2

Autoři: Vladimir Strauss Olga Holtz

Zdroj: Linear Algebra and its Applications. :455-517

Témata: Numerical Analysis, Algebra and Number Theory, 47B50, 46C20, 47B15, 15A21, Mathematics - Rings and Algebras, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Linear operators on spaces with an indefinite metric, indefinite scalar product, Rings and Algebras (math.RA), normal operators, FOS: Mathematics, Hermitian and normal operators (spectral measures, functional calculus, etc.), Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0512582
https://zbmath.org/931899
https://doi.org/10.1016/0024-3795(95)00605-2
https://core.ac.uk/display/82646287
https://arxiv.org/abs/math/0512582
http://ui.adsabs.harvard.edu/abs/2005math.....12582H/abstract
https://arxiv.org/pdf/math/0512582
https://www.sciencedirect.com/science/article/abs/pii/0024379595006052
https://www.sciencedirect.com/science/article/pii/0024379595006052

EXTENSION THEORY FOR OPERATORS AND SPACES WITH INDEFINITE METRIC: Extension theory for operators and spaces with indefinite metric

Autoři: Ju L Šmul'jan

Zdroj: Mathematics of the USSR-Izvestiya. 8:895-907

Témata: Linear symmetric and selfadjoint operators (unbounded), Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Dilations, extensions, compressions of linear operators, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3489919
https://doi.org/10.1070/im1974v008n04abeh002131
http://ui.adsabs.harvard.edu/abs/1974IzMat...8..895S/abstract

On contractions in spaces with an indefinite metric: G-norms and spectral radii

Autoři: A. Ben-Artzi Israel Gohberg

Zdroj: Integral Equations and Operator Theory. 24:422-469

Témata: norm, spectral radius formula, Linear operators on spaces with an indefinite metric, spaces with an indefinite metric, Spectrum, resolvent, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/872684
https://doi.org/10.1007/bf01191620
https://link.springer.com/article/10.1007/BF01191620
https://link.springer.com/content/pdf/10.1007/BF01191620.pdf