Results 21 to 30 of about 15,235 (310)
Iterative Schemes Involving Several Mutual Contractions
Mathematics, 2023 In this paper, we introduce the new concept of mutual Reich contraction that involves a pair of operators acting on a distance space. We chose the framework of strong b-metric spaces (generalizing the standard metric spaces) in order to add a more ...
María A. Navascués +3 more
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Projections in the spaces of bounded linear operations [PDF]
Pacific Journal of Mathematics, 1974 For Banach spaces X, Z, let B(X, Z) denote the space of bounded linear operators from X into Z and K(X, Z) (resp. W(X, Z)) the subspace of compact (resp. weakly compact) operators. It is shown that (a) if X contains an isomorph of Co, then K(X, Γ) is not complemented in B(X, Γ), (b) if S is a compact Hausdorff space which is not scattered, then K(C(S),
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Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces [PDF]
, 2005 Some elementary inequalities providing upper bounds for the difference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions are ...
Sever S. Dragomir, Dragomir, Sever S
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Linear operators on Köthe spaces of vector fields
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 The study of Köthe spaces of vector fields was initiated by the present authors. In this paper linear operators on these spaces are studied. An integral representation theorem is given and special types of linear operators are introduced and studied.
Chiţescu Ion, Sireţchi Liliana
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2-Strict Convexity and Continuity of Set-Valued Metric Generalized Inverse in Banach Spaces
Abstract and Applied Analysis, 2014 Authors investigate the metric generalized inverses of linear operators in Banach spaces. Authors prove by the methods of geometry of Banach spaces that, if X is approximately compact and X is 2-strictly convex, then metric generalized inverses of ...
Shaoqiang Shang, Yunan Cui
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Bilinear Operators on Normed Linear Spaces [PDF]
Formalized Mathematics, 2019 Summary The main aim of this article is proving properties of bilinear operators on normed linear spaces formalized by means of Mizar [1]. In the first two chapters, algebraic structures [3] of bilinear operators on linear spaces are discussed.
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Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces
Journal of Function Spaces, 2014 We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
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Positive forms on Banach spaces [PDF]
, 2003 The first representation theorem establishes a correspondence between positive, self-adjoint operators and closed, positive forms on Hilbert spaces.
Farkas, Bálint +3 more
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Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 We study degenerate hypoelliptic Ornstein–Uhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein ...
Pavliotis, Grigorios +8 more
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Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, a characterization of essential pseudospectra of bounded linear operators on ultrametric Banach spaces over a spherically complete field was given and the notions of pseudospectra and condition pseudospectra of the direct sum of linear ...
J. Ettayb
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