Results 11 to 20 of about 2,451 (228)

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, Vatan Karakaya, M. Mursaleen, Necip Şi̇mşek   +3 more
doaj   +5 more sources

Generalized quasi-Banach sequence spaces and measures of noncompactness [PDF]

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, DIOCESAR L. FERNANDEZ, LUDMILA NIKOLOVA   +2 more
doaj   +2 more sources

On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces

Communications in Advanced Mathematical Sciences
In this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms ...
Seçkin Yalçın, Yılmaz Yılmaz
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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
doaj   +2 more sources

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, Hudzik, Henryk, Płuciennik, Ryszard   +2 more
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V-Proximal Trustworthy Banach Spaces

Journal of Function Spaces, 2020
In a recent work (2016), the first author proved the fuzzy sum rule for the V-proximal subdifferential under some natural assumptions on an equivalent norm of the Banach spaces.
Messaoud Bounkhel, Mostafa Bachar
doaj   +2 more sources

Spaceability in Banach and quasi-Banach sequence spaces

Linear Algebra and its Applications, 2011
9 ...
Botelho, G., Diniz, D., Fávaro, V.V., Pellegrino, D.   +3 more
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Banach sequence spaces

Journal of Mathematical Analysis and Applications, 1976
summary:In this paper, we show the representation of Köthe dual of Banach sequence spaces $\ell _p[X]$ $(1\leq p< \infty )$ and give a characterization of that the spaces $\ell _p[X]$ $(1< p< \infty )$ are Grothendieck ...
Bu, Qing Ying, Bu, Qingying, Wu, Congxin
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source