Results 1 to 10 of about 305,614 (232)
Surjective isometries on Banach sequence spaces: A survey [PDF]
Concrete Operators, 2022 In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial
Antunes Leandro, Beanland Kevin
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Banach-Saks Type and Gurariǐ Modulus of Convexity of Some Banach Sequence Spaces [PDF]
Abstract and Applied Analysis, 2014 Banach-Saks type is calculated for two types of Banach sequence spaces and Gurariǐ modulus of convexity is estimated from above for the spaces of one type among them.
Henryk Hudzik +3 more
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Spaceability in Banach and quasi-Banach sequence spaces [PDF]
Linear Algebra and its Applications, 2011 Let $X$ be a Banach space. We prove that, for a large class of Banach or quasi-Banach spaces $E$ of $X$-valued sequences, the sets $E-\bigcup _{q\in }\ell_{q}(X)$, where $ $ is any subset of $(0,\infty]$, and $E-c_{0}(X)$ contain closed infinite-dimensional subspaces of $E$ (if non-empty, of course). This result is applied in several particular cases
Botelho, G. +3 more
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On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal
Journal of Function Spaces, 2022 In the present study, we have constructed new Banach sequence spaces ℓpL,c0L,cL, and ℓ∞L, where L=lv,k is a regular matrix defined by lv,k=lk/lv+2−v+2, 0≤k≤v,0, k>v, for all v,k=0,1,2,⋯, where l=lk is a sequence of Leonardo numbers.
Taja Yaying +3 more
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Generalized quasi-Banach sequence spaces and measures of noncompactness
Anais da Academia Brasileira de Ciências, 2013 Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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Banach-Saks property in some Banach sequence spaces [PDF]
Annales Polonici Mathematici, 1997 Summary: It is proved that for any Banach space \(X\) property \((\beta)\) defined by \textit{S. Rolewicz} [in Stud. Math. 87, 181-191 (1987; Zbl 0652.46010)] implies that both \(X\) and \(X^*\) have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform ...
Cui, Yunan +2 more
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Generating classes of perfect Banach sequence spaces [PDF]
Proceedings of the American Mathematical Society, 1972 A perfect sequence space A is said to be a step if 11 'Z cJ'10 and A is a Banach space in its strong topology from ...
G. Crofts
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1985 1. Let E denote a Banacb space över the fieîd of real or conıplex numbers. The spaces Co(E), c(E), t.p(E) and loo(E) of sequences in E have been discussed by Boas [1], Day [2], Leonard [9], Maddox [11] and some others. Lorentz [10] introduced the space c cf aîmost convergent sequen- ces of real or complex numbers.
S. Nanda
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Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces
Journal of Function Spaces, 2019 In this paper, we give the sufficient conditions on Orlicz-Cesáro mean sequence spaces cesφ, where φ is an Orlicz function such that the class Scesφ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers which ...
Awad A. Bakery, Mustafa M. Mohammed
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Banach spaces for which the space of operators has 2𝔠 closed ideals
Forum of Mathematics, Sigma, 2021 We formulate general conditions which imply that ${\mathcal L}(X,Y)$, the space of operators from a Banach space X to a Banach space Y, has $2^{{\mathfrak {c}}}$ closed ideals, where ${\mathfrak {c}}$ is the cardinality of the continuum.
Daniel Freeman +2 more
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