Results 21 to 30 of about 28,379 (240)
Journal of Function Spaces, 2022 In order to reconstruct elements from the range of a linear bounded operator K on a separable Banach space, concepts of K-frames and K∗-atomic systems for Banach spaces are introduced, the relationship between the two is discussed, and the sufficient ...
Baoguang Sun, Chunyan Li
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Operations in Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1942 Not ...
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An ordering for the Banach spaces [PDF]
Pacific Journal of Mathematics, 1983 An ''ordering'' on the class of all Banach spaces is defined as follows: If X and Y are Banach spaces, then we say \(X\prec Y\) if \(X=\cap T^{**- 1}[Y],\) where the intersection is over all bounded linear operators T:\(X\to Y\). This holds if there is a Tauberian operator from X to Y, but also in other cases. Certain special cases are characterized: \(
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Some properties of b-weakly compact operators on Banach lattices
پژوهشهای ریاضی, 2021 In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space .
Kazem Haghnejad azar, Akbar Bahramnezhad
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Nontrivial isometries on sp(α)
International Journal of Mathematics and Mathematical Sciences, 1982 sp(α) is a Banach space of sequences x with ‖x‖=(∑i=0∞|xi|p+α∑i=0∞|xi+1−xi|p)1/p.
Stephen L. Campbell
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Journal of Mathematical Analysis and Applications, 1988 Let X and Y be real Banach spaces and \(K\subset Y\) a closed cone satisfying some additional conditions, which generates a partial ordering in Y. The authors consider the abstract optimization problem: (MP) Minimise f(x) subject to g(x)\(\geq 0\) and \(h(x)=0\), where f:X\(\to Y\), \(g:X\to Y^ m\) and \(h:X\to Y^ p\).
P.C. Bhakta, Sumitra Roychaudhuri
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Geometric Properties of Generalized Von Neumann Constant
Journal of Harbin University of Science and Technology, 2023 Spatial geometric constant is a quantization of the properties of spatial geometry. In order to further apply the geometric constant to study the geometry of the Banach space, a new generalized von Neumann constant is introduced.
ZHAO Liang, ZHAO Pingan
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Extremal properties of the set of vector-valued Banach limits
Open Mathematics, 2015 In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X).
García-Pacheco Francisco Javier
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Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type
Fixed Point Theory and Applications, 2017 A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction
Reny George +3 more
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On bases in Banach spaces [PDF]
Studia Mathematica, 2005 Several results about various kinds of bases in Banach spaces are presented. A large part of the paper is devoted to non-separable effects depending on set-theoretic assumptions. In particular, it is shown that in the standard ZFC axiomatics (Zermelo--Fraenkel + Axiom of Choice), a Hamel basis of a separable space cannot be an analytic set; that it is ...
Bartoszynski, Tomek +4 more
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