Results 11 to 20 of about 5,611 (266)
2-Semi-Bounded Linear Operators
Journal of Al-Qadisiyah for Computer Science and Mathematics, 2023 In this Article, we introduced a new definition of 2- semi bounded operator in 2- inner product space. Then, we investigate a new Space of bounded operators and proved it as vector space. After that we show this space as Banach space. Finally, we discussed some properties of this space.
Ahmed M Azeez, Laith K Shaakir
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Linear maps preserving equivalence or asymptotic equivalence on Banach space
Open Mathematics, 2023 Let XX be a complex Banach space with dimension at least two and B(X)B\left(X) the algebra of all bounded linear operators on XX. We show that a bijective linear map Φ\Phi preserves asymptotic equivalence if and only if it preserves equivalence, and in ...
Qin Zijie, Chen Lin
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A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces
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.
Juan Luis García Guirao +3 more
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On bounded linear functional operations [PDF]
Transactions of the American Mathematical Society, 1934 The set of all bounded linear functional operations on a given vector spacet plays an important role in the consideration of linear functional operations. For the sake of greater definiteness it is desirable to know the form of such operations and a space determined thereby.
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The uniform boundedness principle for order bounded operators
International Journal of Mathematics and Mathematical Sciences, 1989 Under appropriate hypotheses on the spaces, it is shown that a sequence of order bounded linear operators which is pointwise order bounded is uniformly order bounded on order bounded subsets.
Charles Swartz
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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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Bounded linear non-absolutely summing operators
Journal of Mathematical Analysis and Applications, 2008 Let \(E\) and \(F\) be Banach spaces. A subset \(M\) of \(E\) is said to be lineable if there exists an infinite-dimensional vector space \(V\subset M\cup\{0\}\). Let \(\Pi_{p}(E;F)\) and \(I_{p}(E;F)\) represent the vector spaces of all absolutely \(p\)-summing operators and \(p\)-integral operators from \(E\) to \(F\), respectively.
PUGLISI, DANIELE, J. B. SEOANE SEPULVEDA
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Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence
Abstract and Applied Analysis, 2014 The aim of this paper is to give the sufficient conditions on the sequence space Cesθ,p defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear ...
Awad A. Bakery
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A characterization of operators via Berezin symbol and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.
Yamancı Ulaş
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