Results 21 to 30 of about 9,060 (265)
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
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Continuity of Multilinear Operator on Normed Linear Spaces [PDF]
Formalized Mathematics, 2019 Summary In this article, various definitions of contuity of multilinear operators on normed linear spaces are discussed in the Mizar formalism [4], [1] and [2]. In the first chapter, several basic theorems are prepared to handle the norm of the multilinear operator, and then it is formalized that the linear space of bounded ...
Nakasho, Kazuhisa, Shidama, Yasunari
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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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Dimension of Certain Kernel Spaces of Linear Operators [PDF]
Proceedings of the American Mathematical Society, 1991 Let G G be a semigroup of linear operators on a vector space S S into itself with the operation of composition. A subset of G G may be associated with a matroid X X . We discuss the dimension of the kernels of certain linear operators induced in a natural way by the matroid ...
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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 +3 more
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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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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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n-Reflexivity for linear spaces of operators [PDF]
Glasgow Mathematical Journal, 1998 AbstractWe discuss the relationship between then-reflexivity of a linear sub-spaceSinB(H), property (A1/n), ClassCoand strictlyn-separating vectors. We also show that every algebraic operator with property (A2) is hyperreflexive.
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Cubic Pythagorean Hesitant Fuzzy Linear Spaces and Its Relevance in Multi Criteria Decision Making
International Journal of Analysis and Applications, 2023 Pythagorean fuzzy sets and interval valued Pythagorean fuzzy sets have an important role in decision making techniques. Pythagorean hesitant fuzzy sets are time and again used in dealing with uncertain and vague data.
Gundeti Soujanya +2 more
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