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Surjective isometries on Banach sequence spaces: A survey
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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A Class of Hereditarily $ell_p(c_0)$ Banach spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $ell_p(c_0)$ Banach spaces for $1leq ...
Somayeh Shahraki, Alireza Ahmadi Ledari
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Banach spaces of GLT sequences and function spaces
The Electronic Journal of Linear Algebra, 2022 Generalized locally Toeplitz (GLT) sequences of matrices originated from the spectral study of certain partial differential equations. To be more precise, such matrix sequences arise when we numerically approximate either partial differential equations or fractional differential equations using any discretization by local methods (finite differences ...
Kumar, V. B. Kiran +2 more
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Approximative K-atomic decompositions and frames in Banach spaces [PDF]
Arab Journal of Mathematical Sciences, 2020 L. Gǎvruţa (2012) introduced a special kind of frames, named K-frames, where K is an operator, in Hilbert spaces, which is significant in frame theory and has many applications.
Shah Jahan
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Overcomplete sets in non-separable Banach spaces [PDF]
, 2020 We introduce and study the notion of overcomplete set in a Banach space, that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space.
Russo, Tommaso, Somaglia, Jacopo
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Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property.
Cui Yun-an, Dai Ming-jun
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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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Property ( k) of Orlicz Sequence Spaces
Journal of Harbin University of Science and Technology, 2017 Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
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Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
Fixed Point Theory and Applications, 2004 We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection.
Wataru Takahashi, Shin-ya Matsushita
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