Results 21 to 30 of about 155,050 (273)
Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers
Journal of Function Spaces, 2020 Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
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Genericity of Fr\'echet smooth spaces [PDF]
, 2011 If a separable Banach space contains an isometric copy of every separable reflexive Fr\'echet smooth Banach space, then it contains an isometric copy of every separable Banach space.
A. Szankowski +11 more
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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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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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On Conjugate Space of a Fuzzy 2-Banach Space
Fuzzy Information and Engineering, 2016 The notion of conjugate space of a fuzzy 2-Banach space is introduced. Some of its properties are obtained as standard results. It is shown that the conjugate space B* of a fuzzy 2-Banach space B is a fuzzy 2-Banach space up to comparability.
A.R. Meenakshi, D. Cokilavany
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Isometries on extremely non-complex Banach spaces [PDF]
, 2010 Given a separable Banach space $E$, we construct an extremely non-complex Banach space (i.e. a space satisfying that $\|Id + T^2\|=1+\|T^2\|$ for every bounded linear operator $T$ on it) whose dual contains $E^*$ as an $L$-summand.
Koszmider, Piotr +2 more
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Multismoothness in Banach Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 In this paper, motivated by the results published by R. Khalil and A. Saleh in 2005, we study the notion ofk-smooth points and the notion ofk-smoothness, which are dual to the notion ofk-rotundity. Generalizing these notions and combining smoothness with the recently introduced notion of unitary, we study classes of Banach spaces for which the vector ...
Bor-Luh Lin, T. S. S. R. K. Rao
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Weighted Vector-Valued Holomorphic Functions on Banach Spaces
Abstract and Applied Analysis, 2013 We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of ...
Enrique Jordá
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Biamenability of Banach algebras and its applications [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, we introduce the concept of biamenability of Banach algebras and we show that despite the apparent similarities between amenability and biamenability of Banach algebras, they lead to very different, and somewhat opposed, theories.
Sedigheh Barootkoob +1 more
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Local Uniform Kadec-Klee Property (LUKK) and Modulus of (LUKK)
Journal of Function Spaces, 2020 A new geometry property and two new moduli are introduced in Banach space. First, the concept of local uniform Kadec-Klee property (LUKK) is introduced and the implication relationships between LUKK and local near uniform convexity LNUC, uniformly Kadec ...
Yunan Cui, Xiaoxia Wang
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