Results 21 to 30 of about 4,892,851 (274)
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
doaj +1 more source
A New Banach Space Defined By Euler Totient Matrix Operator
Operators and Matrices, 2019 The main object of this paper is to introduce a new Banach space derived by using a matrix operator which is comprised of Euler’s totient function. Also, we determine α , β , γ -duals of this space and characterize some matrix classes on this new space ...
M. İlkhan, E. Kara
semanticscholar +1 more source
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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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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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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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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The (𝐷) Property in Banach Spaces
Abstract and Applied Analysis, 2012 A Banach space 𝐸 is said to have (D) property if every bounded linear operator 𝑇∶𝐹→𝐸∗ is weakly compact for every Banach space 𝐹 whose dual does not contain an isomorphic copy of 𝑙∞.
Danyal Soybaş
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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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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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Some Banach spaces added by a Cohen real [PDF]
, 2014 We study certain Banach spaces that are added in the extension by one Cohen real. Specifically, we show that adding just one Cohen real to any model adds a Banach space of density $\aleph_1$ which does not embed into any such space in the ground model ...
Bell +11 more
core +3 more sources