A note on irreducibility for linear operators on partially ordered finite dimensional vector spaces [PDF]
Linear Algebra and Its Applications, 1976 AbstractMany of the important applications of the Perron-Frobenius theory of nonnegative matrices assume that certain matrices are irreducible. The purpose of this note is to introduce a weaker condition which can be used in place of irreducibility, even in the more general setting of linear operators on a partially ordered finite dimensional vector ...
James S Vandergraft
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Stabilizing Solution for a Discrete-Time Modified Algebraic Riccati Equation in Infinite Dimensions [PDF]
Discrete Dynamics in Nature and Society, 2015 We provide necessary and sufficient conditions for the existence of stabilizing solutions for a class of modified algebraic discrete-time Riccati equations (MAREs) defined on ordered Banach spaces of sequences of linear and bounded operators. These MAREs
Viorica Mariela Ungureanu
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Boundary value problems for linear operators in ordered Banach spaces [PDF]
Studia Mathematica, 2010 We study boundary value problems of the type Ax = r, φ(x) = φ(b) (φ ∈ M ⊆ E∗) in ordered Banach spaces.
Gerd Herzog
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POSITIVE LINEAR OPERATORS IN SEMI-ORDERED LINEAR SPACES
Hokkaido Mathematical Journal, 1957 exaly +4 more sources
Ordered vector sequence spaces and related classes of linear operators
Mathematische Annalen, 1973 Bertram Walsh, Walsh Bertram
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Linear isomorphic spaces of fractional-order difference operators
Alexandria Engineering Journal, 2021 In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces. We also show that aforesaid spaces are linearly isomorphic and BK-spaces.
S. A. Mohiuddine +3 more
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A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces [PDF]
Mathematics, 2021 This paper aims to study fuzzy order bounded linear operators between two fuzzy Riesz spaces. Two lattice operations are defined to make the set of all bounded linear operators as a fuzzy Riesz space when the codomain is fuzzy Dedekind complete. As a special case, separation property in fuzzy order dual is studied.
Juan L. G. Guirao +3 more
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Riesz representation theorems for positive linear operators [PDF]
, 2021 We generalise the Riesz representation theorems for positive linear functionals on $\mathrm{C}_{\mathrm c}(X)$ and $\mathrm{C}_{\mathrm 0}(X)$, where $X$ is a locally compact Hausdorff space, to positive linear operators from these spaces into a ...
Jiang, X. +3 more
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On linear operators on ordered banach spaces [PDF]
Bulletin of the Australian Mathematical Society, 1983 The order structure of the space of all continuous linear operators on an ordered Banach space is studied. The main topic is the Robinson property, that is, the norm of a positive linear operator is attained on the positive unit cone.
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Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras [PDF]
, 2014 We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Hatori, Osamu, Molnár, Lajos
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