Search Results - Linear operators on ordered spaces

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  1. 1

    The Riesz–Kantorovich formula for lexicographically ordered spaces by Schouten, W. M.

    ISSN: 1385-1292, 1572-9281
    Published: Cham Springer International Publishing 01.04.2018
    “… ) of all regular linear operators becomes a partially ordered vector space itself. We will mainly concern ourselves with the questions when the space L r ( L , M…”
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    Journal Article
  2. 2

    A characterization of Drazin monotonicity of operators over ordered Banach space by Bhat, Archana, Kurmayya, T., Selvaraj, R. S.

    ISSN: 0971-3611, 2367-2501
    Published: Singapore Springer Nature Singapore 01.12.2023
    Published in The Journal of Analysis (01.12.2023)
    “…Let A be a bounded linear operator over ordered Banach space which is ordered by a cone K…”
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    Journal Article
  3. 3

    Riesz representation theorems for positive linear operators by de Jeu, Marcel, Jiang, Xingni

    ISSN: 2662-2033, 1735-8787
    Published: Cham Springer International Publishing 01.07.2022
    Published in Banach journal of mathematical analysis (01.07.2022)
    “… ) , where X is a locally compact Hausdorff space, to positive linear operators from these spaces into a partially ordered vector space E…”
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    Journal Article
  4. 4

    Existence and extensions of positive linear operators by DANET, Nicolae, DANET, Rodica-Mihaela

    ISSN: 1385-1292, 1572-9281
    Published: Basel Birkhäuser-Verlag 01.02.2009
    “…In this paper we develop some unified methods, based on the technique of the auxiliary sublinear operator, for obtaining extensions of positive linear operators…”
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    Journal Article
  5. 5

    Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space by Janda, Jirí

    ISSN: 1210-2709, 1805-2363
    Published: CTU Central Library 01.01.2013
    “… on a Hilbert space with the usual sum of operators. The structure of the set of not only positive linear operators can be described with the notion of a weakly ordered partial commutative group (wop-group…”
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    Journal Article
  6. 6

    Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space by Janda, Jiří

    ISSN: 1210-3195, 1338-9750
    Published: Bratislava Versita 01.01.2011
    Published in Tatra Mountains mathematical publications (01.01.2011)
    “…We continue in a direction of describing an algebraic structure of linear operators on infinite-dimensional complex Hilbert space ℋ. In [Paseka, J.- -Janda, J…”
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    Journal Article
  7. 7

    On Dominated Extension of Linear Operators by Gelieva, A. A., Kusraeva, Z. A.

    ISSN: 0001-4346, 1067-9073, 1573-8876
    Published: Moscow Pleiades Publishing 01.07.2020
    Published in Mathematical Notes (01.07.2020)
    “…An ordered topological vector space has the countable dominated extension property if any linear operator ranging in this space, defined on a subspace of a separable metrizable topological vector…”
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    Journal Article
  8. 8

    Newton’s method for concave operators with resolvent positive derivatives in ordered Banach spaces by Damm, T., Hinrichsen, D.

    ISSN: 0024-3795, 1873-1856
    Published: New York, NY Elsevier Inc 01.04.2003
    Published in Linear algebra and its applications (01.04.2003)
    “…We prove a non-local convergence result for Newton’s method applied to a class of nonlinear equations in ordered real Banach spaces…”
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    Journal Article Conference Proceeding
  9. 9

    Contractivity results in ordered spaces. Applications to relative operator bounds and projections with norm one by Mokhtar‐Kharroubi, Mustapha

    ISSN: 0025-584X, 1522-2616
    Published: Weinheim Wiley Subscription Services, Inc 01.08.2017
    Published in Mathematische Nachrichten (01.08.2017)
    “…This paper provides various “contractivity” results for linear operators of the form…”
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    Journal Article
  10. 10

    Stability of discrete-time positive evolution operators on ordered Banach spaces and applications by Ungureanu, V.M., Dragan, V.

    ISSN: 1023-6198, 1563-5120
    Published: Abingdon Taylor & Francis Group 01.06.2013
    “…In this paper we discuss stability problems for a class of discrete-time evolution operators generated by linear positive operators acting on certain ordered Banach spaces…”
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    Journal Article
  11. 11

    Discrete-time population dynamics on the state space of measures by Thieme, Horst R

    ISSN: 1551-0018, 1551-0018
    Published: United States AIMS Press 01.01.2020
    “…), which is a positive linear operator on the ordered vector space of real measures and can be…”
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    Journal Article
  12. 12

    On some vector lattices of operators and their finite elements by Hahn, Norbert, Hahn, Siegfried, Weber, Martin R.

    ISSN: 1385-1292, 1572-9281
    Published: Basel Birkhäuser-Verlag 01.02.2009
    “… In the paper we deal with ordered vector spaces of linear operators and ask under which conditions are they vector lattices, lattice-subspaces of the ordered vector space or, in the case that is a…”
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    Journal Article
  13. 13

    On Weak Pseudo-regular Splittings of Bounded Linear Operators and Nonnegative Moore-Penrose Inverses by Bhat, Archana, Tamminana, Kurmayya

    ISSN: 0019-5588, 0975-7465
    Published: Heidelberg Springer Nature B.V 01.09.2025
    “…Let H1,H2 be two ordered real Hilbert spaces with cones C1,C2 respectively. A bounded linear operator S:H1…”
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    Journal Article
  14. 14

    A functional representation approach to vector lattice covers for spaces of compact operators by van Gaans, Onno, Glück, Jochen, Kalauch, Anke

    ISSN: 0019-3577
    Published: Elsevier B.V 01.07.2025
    Published in Indagationes mathematicae (01.07.2025)
    “…For ordered normed vector spaces X,Y, we consider the space L(X,Y) of bounded linear operators and characterize when its cone of positive operators has non-empty interior…”
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    Journal Article
  15. 15

    IFS on a metric space with a graph structure and extensions of the Kelisky–Rivlin theorem by Gwóźdź-Łukawska, Gertruda, Jachymski, Jacek

    ISSN: 0022-247X, 1096-0813
    Published: Elsevier Inc 15.08.2009
    “…We develop the Hutchinson–Barnsley theory for finite families of mappings on a metric space endowed with a directed graph…”
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    Journal Article
  16. 16

    A non-commutative version of Nikishin’s theorem by Tikhonov, O.E., Veselova, L.V.

    ISSN: 0019-3577, 1872-6100
    Published: Elsevier B.V 01.01.2015
    Published in Indagationes mathematicae (01.01.2015)
    “… We prove that every positive linear operator from an ordered Banach space to S can be factorized through L1…”
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    Journal Article
  17. 17

    Stabilizing Solution for a Discrete-Time Modified Algebraic Riccati Equation in Infinite Dimensions by Ungureanu, Viorica Mariela

    ISSN: 1026-0226, 1607-887X
    Published: Cairo, Egypt Hindawi Limiteds 01.01.2015
    Published in Discrete Dynamics in Nature and Society (01.01.2015)
    “…) defined on ordered Banach spaces of sequences of linear and bounded operators. These MAREs arise in the study of linear quadratic (LQ…”
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    Journal Article
  18. 18

    Exponential Stability for Discrete Time Linear Equations Defined by Positive Operators by Dragan, Vasile, Morozan, Toader

    ISSN: 0378-620X, 1420-8989
    Published: Heidelberg Springer Nature B.V 01.04.2006
    Published in Integral equations and operator theory (01.04.2006)
    “… on an ordered finite dimensional Hilbert space is investigated.The class of linear equations considered in this paper contains as particular cases linear equations described…”
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    Journal Article
  19. 19

    Stability of positive linear switched systems on ordered Banach spaces by Doan, T.S., Kalauch, A., Klose, M., Siegmund, S.

    ISSN: 0167-6911, 1872-7956
    Published: Elsevier B.V 01.01.2015
    Published in Systems & control letters (01.01.2015)
    “…We provide sufficient criteria for the stability of positive linear switched systems on ordered Banach spaces…”
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    Journal Article
  20. 20

    Riesz representation theorems for positive linear operators by de Jeu, Marcel, Jiang, Xingni

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 05.01.2022
    Published in arXiv.org (05.01.2022)
    “…\) is a locally compact Hausdorff space, to positive linear operators from these spaces into a partially ordered vector space \(E…”
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    Paper