Search Results - Classical Banach spaces in the general theory
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Selfadjoint operators on real or complex Banach spaces
ISSN: 0362-546X, 1873-5215Published: Elmsford Elsevier Ltd 01.03.2020Published in Nonlinear analysis (01.03.2020)“…Selfadjoint operators on Hilbert spaces have been extended to more general scopes such as certain real Banach spaces and complex Banach spaces endowed with a continuous Hermitian bilinear form…”
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Asymptotic behavior of evolution systems in arbitrary Banach spaces using general almost periodic splittings
ISSN: 2191-9496, 2191-950XPublished: De Gruyter 01.01.2019Published in Advances in nonlinear analysis (01.01.2019)“… differential equations, and their whole line analogues, , , with a family of ω-dissipative operators in a general Banach space…”
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Burkholder–Davis–Gundy Inequalities in UMD Banach Spaces
ISSN: 0010-3616, 1432-0916Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020Published in Communications in mathematical physics (01.10.2020)“…In this paper we prove Burkholder–Davis–Gundy inequalities for a general martingale M with values in a UMD Banach space X . Assuming that M 0…”
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Convergence of Dynamics on Inductive Systems of Banach Spaces
ISSN: 1424-0637, 1424-0661Published: Cham Springer International Publishing 01.11.2024Published in Annales Henri Poincaré (01.11.2024)“… It would seem that few methods can be useful in such diverse applications. However, we here present a flexible modeling tool for the limit of theories, soft inductive limits, constituting a generalization of inductive limits of Banach spaces…”
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The Quest for the Ultimate Anisotropic Banach Space
ISSN: 0022-4715, 1572-9613Published: New York Springer US 01.02.2017Published in Journal of statistical physics (01.02.2017)“…We present a new scale U p t , s ( s < - t < 0 and 1 ≤ p < ∞ ) of anisotropic Banach spaces, defined via Paley…”
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Continuous Selections and Invertibility of Nonsmooth Maps Between Banach Spaces: Continuous Selections and Invertibility of Nonsmooth Maps Between Banach Spaces
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.08.2025Published in Journal of optimization theory and applications (01.08.2025)“…In the setting of Banach spaces, we address the problems of local surjectivity, existence of a continuous selection and invertibility for nonsmooth maps which admit a suitable pseudo-Jacobian…”
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A toolkit for constructing dilations on Banach spaces
ISSN: 0024-6115, 1460-244XPublished: 01.02.2019Published in Proceedings of the London Mathematical Society (01.02.2019)“…, then T admits a dilation to an invertible isometry on a Banach space Y with the same regularity as X. The classical dilation theorems of Sz…”
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Incompatibility in General Probabilistic Theories, Generalized Spectrahedra, and Tensor Norms
ISSN: 0010-3616, 1432-0916Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022Published in Communications in mathematical physics (01.08.2022)“…In this work, we investigate measurement incompatibility in general probabilistic theories (GPTs…”
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Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
ISBN: 9780691153551, 0691153566, 0691153558, 9780691153568, 1400842697, 9781400842698Published: Princeton Princeton University Press 2012“…-valued Lipschitz functions. The topic is relevant to classical analysis and descriptive set theory on Banach spaces…”
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On Hardy-Like Spaces Induced by Tracial Unital Banach ∗-Probability Spaces: On Hardy-Like Spaces Induced by Tracial Unital Banach
ISSN: 1661-8254, 1661-8262Published: Cham Springer International Publishing 01.01.2025Published in Complex analysis and operator theory (01.01.2025)“…Starting from a unital Banach ∗ -probability space A , τ , where τ is a trace on a Banach…”
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A Kolmogorov–Chentsov Type Theorem on General Metric Spaces with Applications to Limit Theorems for Banach-Valued Processes
ISSN: 0894-9840, 1572-9230Published: New York Springer US 01.09.2023Published in Journal of theoretical probability (01.09.2023)“… with values in a general metric space X . Adapting the moment condition on the increments from the classical Kolmogorov…”
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Erratum to: “Polynomial algebras on classical Banach spaces”
ISSN: 0021-2172, 1565-8511Published: Jerusalem The Hebrew University Magnes Press 01.04.2015Published in Israel journal of mathematics (01.04.2015)“…We give a corrected proof of the main Lemma 2 from the paper in the title (our Corollary 7)…”
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Generalized Mercer Kernels and Reproducing Kernel Banach Spaces
ISBN: 9781470435509, 1470435500ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2019“…This article studies constructions of reproducing kernel Banach spaces (RKBSs) which may be viewed as a generalization of reproducing kernel Hilbert spaces (RKHSs…”
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Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus
ISSN: 1951-6355, 1951-6401Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2023Published in The European physical journal. ST, Special topics (01.11.2023)“…Farmers are trying to adopt new cultivation methods and technologies to produce more and good yield. Low productivity is due to a variety of factors; one of…”
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Classical Operators in Weighted Banach Spaces of Holomorphic Functions
ISSN: 1072-3374, 1573-8795Published: New York Springer US 09.09.2019Published in Journal of mathematical sciences (New York, N.Y.) (09.09.2019)“…We review recent results in the theory of classical operators (embedding, differentiation, and integration…”
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Gentle introduction to rigorous Renormalization Group: a worked fermionic example
ISSN: 1029-8479, 1126-6708, 1029-8479Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2021Published in The journal of high energy physics (01.01.2021)“…”) kinetic term depending on a parameter ε and a quartic interaction. We identify the Banach space of interactions, which the fixed point belongs to, and we determine it via a convergent approximation…”
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Numerical boundaries for some classical Banach spaces: The Interplay Between Measure Theory, Topology and Functional Analysis
ISSN: 0022-247X, 1096-0813Published: Amsterdam Elsevier 2009Published in Journal of mathematical analysis and applications (2009)Get full text
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Ultimate Data Hiding in Quantum Mechanics and Beyond
ISSN: 0010-3616, 1432-0916Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2018Published in Communications in mathematical physics (01.07.2018)“…The phenomenon of data hiding, i.e. the existence of pairs of states of a bipartite system that are perfectly distinguishable via general entangled measurements yet…”
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Casazza–Christensen-Eijndhoven Perturbation Result in Quasi-Banach Spaces: Application to Fractal Basic Sequences: Casazza–Christensen-Eijndhoven
ISSN: 1661-8254, 1661-8262Published: Cham Springer International Publishing 01.04.2025Published in Complex analysis and operator theory (01.04.2025)“…A well-known classical result in functional analysis states that a bounded linear operator T on a Banach space is invertible if it is sufficiently close to the identity operator I , specifically if ‖ I - T…”
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On Chaotic and Frequently Hypercyclic Properties of Classical Operators in the Weighted Space of Entire Functions
ISSN: 1995-0802, 1818-9962Published: Moscow Pleiades Publishing 01.02.2025Published in Lobachevskii journal of mathematics (01.02.2025)“…We study the issues of chaoticity and frequently hypercyclicity of various operators in the weighted space of entire functions, defined as the projective limit of Banach spaces. Theorems 4…”
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