Search Results - Linear operators on ordered spaces
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The Riesz–Kantorovich formula for lexicographically ordered spaces
ISSN: 1385-1292, 1572-9281Published: Cham Springer International Publishing 01.04.2018Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (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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A characterization of Drazin monotonicity of operators over ordered Banach space
ISSN: 0971-3611, 2367-2501Published: Singapore Springer Nature Singapore 01.12.2023Published 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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Riesz representation theorems for positive linear operators
ISSN: 2662-2033, 1735-8787Published: Cham Springer International Publishing 01.07.2022Published 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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Existence and extensions of positive linear operators
ISSN: 1385-1292, 1572-9281Published: Basel Birkhäuser-Verlag 01.02.2009Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (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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Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space
ISSN: 1210-2709, 1805-2363Published: CTU Central Library 01.01.2013Published in Acta polytechnica (Prague, Czech Republic : 1992) (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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Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space
ISSN: 1210-3195, 1338-9750Published: Bratislava Versita 01.01.2011Published 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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On Dominated Extension of Linear Operators
ISSN: 0001-4346, 1067-9073, 1573-8876Published: Moscow Pleiades Publishing 01.07.2020Published 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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Newton’s method for concave operators with resolvent positive derivatives in ordered Banach spaces
ISSN: 0024-3795, 1873-1856Published: New York, NY Elsevier Inc 01.04.2003Published 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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Contractivity results in ordered spaces. Applications to relative operator bounds and projections with norm one
ISSN: 0025-584X, 1522-2616Published: Weinheim Wiley Subscription Services, Inc 01.08.2017Published in Mathematische Nachrichten (01.08.2017)“…This paper provides various “contractivity” results for linear operators of the form…”
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Stability of discrete-time positive evolution operators on ordered Banach spaces and applications
ISSN: 1023-6198, 1563-5120Published: Abingdon Taylor & Francis Group 01.06.2013Published in Journal of difference equations and applications (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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Discrete-time population dynamics on the state space of measures
ISSN: 1551-0018, 1551-0018Published: United States AIMS Press 01.01.2020Published in Mathematical biosciences and engineering : MBE (01.01.2020)“…), which is a positive linear operator on the ordered vector space of real measures and can be…”
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On some vector lattices of operators and their finite elements
ISSN: 1385-1292, 1572-9281Published: Basel Birkhäuser-Verlag 01.02.2009Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (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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On Weak Pseudo-regular Splittings of Bounded Linear Operators and Nonnegative Moore-Penrose Inverses
ISSN: 0019-5588, 0975-7465Published: Heidelberg Springer Nature B.V 01.09.2025Published in Indian journal of pure and applied mathematics (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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A functional representation approach to vector lattice covers for spaces of compact operators
ISSN: 0019-3577Published: Elsevier B.V 01.07.2025Published 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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IFS on a metric space with a graph structure and extensions of the Kelisky–Rivlin theorem
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 15.08.2009Published in Journal of mathematical analysis and applications (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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A non-commutative version of Nikishin’s theorem
ISSN: 0019-3577, 1872-6100Published: Elsevier B.V 01.01.2015Published 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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Stabilizing Solution for a Discrete-Time Modified Algebraic Riccati Equation in Infinite Dimensions
ISSN: 1026-0226, 1607-887XPublished: Cairo, Egypt Hindawi Limiteds 01.01.2015Published 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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Exponential Stability for Discrete Time Linear Equations Defined by Positive Operators
ISSN: 0378-620X, 1420-8989Published: Heidelberg Springer Nature B.V 01.04.2006Published 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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Stability of positive linear switched systems on ordered Banach spaces
ISSN: 0167-6911, 1872-7956Published: Elsevier B.V 01.01.2015Published 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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Riesz representation theorems for positive linear operators
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 05.01.2022Published 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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