Results 21 to 30 of about 2,646,098 (197)
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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Several Inequalities of Frechet Spaces [PDF]
, 2005 Several inequalities of Frechet spaces are given in this paper, which can be regarded as the Frechet spaces versions of the well-known polarization identity occurring in Hilbert spaces. Our results generalize many inequalities in Banach spaces.
Shi, Chaofeng
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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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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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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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On spreading $c_0$-sequences in Banach spaces [PDF]
Studia Mathematica, 1999 The author introduces the notions of spreading-\((s)\) and spreading-\((u)\). The main results proved: spreading-\((s)\) implies spreading-\((u)\) and some necessary and sufficient conditions for spreading-\((s)\) and spreading-\((u)\).
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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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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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Multipliers for p-Bessel Sequences in Banach Spaces [PDF]
Integral Equations and Operator Theory, 2010 17 ...
Rahimi, Asghar, Balazs, Peter
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