Results 51 to 60 of about 73,216 (207)
Constructing separated sequences in Banach spaces [PDF]
Proceedings of the American Mathematical Society, 2010 If \(X\) is an infinite-dimensional Banach space, then there exists a sequence \((x_n)\) in \(B_X\), the unit ball of \(X\), and \(\gamma >1\) so that \(\text{sep} (x_n) \equiv \inf_{n\neq m} \|x_n-x_m\| \geq \gamma\) [\textit{J.\,Elton} and \textit{E.\,Odell}, ``The unit ball of every infinite-dimensional normed linear space contains a \((1+\epsilon)\)
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Selecting basic sequences in φ-stable Banach spaces [PDF]
Studia Mathematica, 2003 Motivated by \textit{B. Maurey's} proof [Math. Sci. Res. Inst. Publ. 34, 149--157 (1999; Zbl 0935.46016)] of \textit{W. T.~Gowers} dichotomy theorem [Geom. Funct. Anal. 6, No. 6, 1083--1093 (1996; Zbl 0868.46007)], the authors prove a quantitative version of this theorem. Let \(\mathcal G_\infty (X)\) denote all closed infinite-dimensional subspaces of
Figiel, Tadeusz +3 more
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Food Safety and Health, EarlyView.Planned harvesting and processing of marine macroalgae could meet future global food needs and mitigate fuel‐originated carbon dioxide responsible for climate change. Microalgal foods are nutritious and safe. The utilization of macroalgae would avoid environmental problems arising from the release of overgrowing macroalgae caused by heatwaves, which ...
Upali Samarajeewa
wiley +1 more source
Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm
Journal of Harbin University of Science and Technology, 2021 As we known, H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper, we give necessai-y and sufficient conditions for a point in
ZHAO Li, CUI Yun-an
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Empty-cored sequences in Banach spaces
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2000 The purpose of the present paper is to describe sequences in Banach spaces in terms of Knopp core. For matrix summability methods, the conditions forcore-shrinkingness are also given. In investigations of core inclusions and several other summability problems in Banach spaces it is vital to be aware ofelements with empty cores.
Iro, Ain, Loone, Leiki
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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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Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, EarlyView.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar +3 more
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An Inexact Proximal-Type Method for the Generalized Variational Inequality in Banach Spaces
Journal of Inequalities and Applications, 2008 We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces.
J. C. Yao, G. Mastroeni, L. C. Ceng
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A C(K) Banach space which does not have the Schroeder-Bernstein property [PDF]
, 2011 We construct a totally disconnected compact Hausdorff space N which has clopen subsets M included in L included in N such that N is homeomorphic to M and hence C(N) is isometric as a Banach space to C(M) but C(N) is not isomorphic to C(L). This gives two
Koszmider, Piotr
core
Weak-star point of continuity property and Schauder bases
, 2013 We characterize the weak-star point of continuity property for subspaces of dual spaces with separable predual and we deduce that the weak-star point of continuity property is determined by subspaces with a Schauder basis in the natural setting of dual ...
Arias, José A. Soler +1 more
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