Results 1 to 10 of about 941 (164)
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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On the β-Dual of Banach-Space-Valued Difference Sequence Spaces [PDF]
Ukrainian Mathematical Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhardwaj, V.K., Gupta, S.
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Extendibility of bilinear forms on banach sequence spaces [PDF]
Israel Journal of Mathematics, 2014 We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize $c_0$ in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits extensions to any superspace.
Pablo Sevilla-Peris +2 more
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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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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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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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Separated sequences in nonreflexive Banach spaces [PDF]
Proceedings of the American Mathematical Society, 2000 We prove that there is c > 1 c>1
Andrzej Krzysztof Kryczka +1 more
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On linear independence of sequences in a Banach space [PDF]
Pacific Journal of Mathematics, 1953 This paper gives an answer to a problem raised by \textit{A. Dvoretzky}: given a sequence of (algebraically) linearly independent unit vectors of a Banach space, does there exists a subsequence linearly independent in some stronger sense? The authors prove that, given any positively valued function \(\varphi(n)\), every sequence of linearly independent
Erdös, P., Straus, E. G.
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AN OPERATOR SUMMABILITY OF SEQUENCES IN BANACH SPACES [PDF]
Glasgow Mathematical Journal, 2013 AbstractLet 1 ≤ p < ∞. A sequence 〈 xn 〉 in a Banach space X is defined to be p-operator summable if for each 〈 fn 〉 ∈ lw*p(X*) we have 〈〈 fn(xk)〉k〉n ∈ lsp(lp). Every norm p-summable sequence in a Banach space is operator p-summable whereas in its turn every operator p-summable sequence is weakly p-summable.
Karn, Anil Kumar, Sinha, Deba Prasad
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