Results 21 to 30 of about 10,463 (261)

STRUCTURED CONDITION PSEUDOSPECTRA AND STRUCTURED ESSENTIAL CONDITION PSEUDOSPECTRA OF BOUNDED LINEAR OPERATORS ON ULTRAMETRIC BANACH SPACES [PDF]

Journal of Algebraic Systems
In this paper, we introduce and study the structured condition pseudospectra and the structured essential condition pseudospectra of bounded linear operators on ultrametric Banach spaces.
Jawad Ettayb
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The Study of Felbin and $BS$ Fuzzy Normed Linear Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we first show that the  induced topologies by Felbin and Bag-Samanta type fuzzy norms on a linear space $X$ are equivalent. So all results in Felbin-fuzzy normed linear spaces are valid in Bag-Samanta fuzzy normed linear spaces and vice ...
Farnaz Yaqub Azari, Ildar Sadeqi
doaj   +1 more source

Linear operations in Saks spaces (I) [PDF]

Studia Mathematica, 1950
L'A. appelle \( F \)-norme sur un espace vectoriel réel \( X \) une fonction \( x \rightarrow\|x\| \) telle que: 1) \( \|x\|=0 \) équivaut à \( x=0 ; \) 2) \( \|x+y\| \leq\|x\|+\|y\| ; 3) \) si \( \lambda_{n} \rightarrow \lambda \) et \( \left\|x_{n}-x\right\| \rightarrow 0 \), alors \( \left\|\lambda_{n} x_{n}-\lambda x\right\| \rightarrow 0 \). Si \(
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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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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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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, Sangita Jha, Arya K. B. Chand, Ram N. Mohapatra   +3 more
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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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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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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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Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces

Қарағанды университетінің хабаршысы. Математика сериясы
In 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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