Results 11 to 20 of about 4,637,247 (289)
International Journal of Mathematics and Mathematical Sciences, 1991 In recent publications the concepts of fast completeness and local barreledness have been shown to be related to the property of all weak‐* bounded subsets of the dual (of a locally convex space) being strongly bounded. In this paper we clarify those relationships, as well as giving several different characterizations of this property.
Jing Hui Qiu, Kelly McKennon
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Skewness in Banach spaces [PDF]
Transactions of the American Mathematical Society, 1983 Let E E be a Banach space. One often wants to measure how far E E is from being a Hilbert space. In this paper we define the skewness s ( E ) s(E) of a Banach space E E , 0 ⩽ s ( E ) ⩽ 2
Bruce Reznick, Simon Fitzpatrick
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On Nonseparable Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1982 Combining combinatorial methods from set theory with the functional structure of certain Banach spaces we get some results on the isomorphic structure of nonseparable Banach spaces. The conclusions of the paper, in conjunction with already known results, give complete answers to problems of the theory of Banach spaces. An interesting point here is that
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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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Advances in Mathematics, 2005 We show that any Banach space contains a continuum of non isomorphic subspaces or a minimal subspace. We define an ergodic Banach space $X$ as a space such that $E_0$ Borel reduces to isomorphism on the set of subspaces of $X$, and show that every Banach space is either ergodic or contains a subspace with an unconditional basis $ which is ...
Valentin Ferenczi, Christian Rosendal
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An approach of Banach algebra in fuzzy metric spaces with an application
AIMS Mathematics, 2022 The purpose of this paper is to present a new concept of a Banach algebra in a fuzzy metric space (FM-space). We define an open ball, an open set and prove that every open ball in an FM-space over a Banach algebra A is an open set.
Saif Ur Rehman +3 more
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On incomparability of Banach spaces [PDF]
Mathematische Zeitschrift, 1986 We give a simpler proof of the well-known \textit{H. P. Rosenthal}'s characterization of totally incomparable Banach spaces [J. Funct. Anal. 4, 167-175 (1969; Zbl 0181.154)] and we introduce a dual concept of incomparability: Two Banach spaces are said to be totally coincomparable if they have no isomorphic quotients of infinite-dimension.
González, Manuel, Onieva, Victor M.
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Martingale transforms on Banach function spaces
Electronic Research Archive, 2022 We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund.
Kwok-Pun Ho
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On the stability of the linear mapping in Banach spaces
, 1978 Let E1, E2 be two Banach spaces, and let f: E1 -* E2 be a mapping, that is "approximately linear". S. M. Ulam posed the problem: "Give conditions in order for a linear mapping near an approximately linear mapping to exist".
T. Rassias
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Journal of Functional Analysis, 1991 Building on the work of Grothendieck on tensor products and Fredholm determinants, the authors develop a theory of relative Pfaffians for operators (resp. bilinear forms) on Banach spaces. In the finite dimensional case, the relative Pfaffian of two skew-symmetric \(2k\times 2k\) matrices \(A\) and \(B\) (\(A\) being invertible) is defined to be ...
Slawomir Klimek, Andrzej Lesniewski
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