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Titlebook: Biorthogonal Systems in Banach Spaces; Petr Hájek,Vicente Montesinos Santalucía,Václav Zi Textbook 2008 Springer-Verlag New York 2008 Bana

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发表于 2025-3-21 18:57:00 | 显示全部楼层 |阅读模式
期刊全称Biorthogonal Systems in Banach Spaces
影响因子2023Petr Hájek,Vicente Montesinos Santalucía,Václav Zi
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发行地址Notes and exercises related to the topic.Presents open problems and possible directions of research in each chapter
学科分类CMS Books in Mathematics
图书封面Titlebook: Biorthogonal Systems in Banach Spaces;  Petr Hájek,Vicente Montesinos Santalucía,Václav Zi Textbook 2008 Springer-Verlag New York 2008 Bana
影响因子.One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us a sense of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems...The main goals of this book are to: -introduce the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces, -aim the text at graduate students and researchers who have a foundation in Banach space theory, - expose the reader to some current avenues of research in biorthogonal systems in Banach spaces, -provide notes and exercises related to the topic, suggest open problems and possible new directions of research...Numerous exercises are included, and the only prerequisites are a basic background in functional analysis..
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发表于 2025-3-21 23:48:05 | 显示全部楼层
Bank- und Kundenloyalität im Wandel). It is therefore a priori unclear if every nonseparable subspace of . contains an uncountable biorthogonal system. The third section singles out some natural classes of spaces that are obtained “constructively” (representable spaces)— and hence are well-behaved in this respect, as shown by results
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Exkurs: Die Erfolgsgeschichte von PING ANo as spaces admitting a weakly Lindelöf M-basis. The fifth section shows the impact of the additional axioms to ZFC on the structure of .(.) spaces, where . is a Corson compactum. The last two sections examine extensions of Mbases and quasicomplements. Among other things, it is shown that WLD spaces
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Lean Management Beyond Manufacturinge results include characterizations of spaces in which every dual ball is weak*-separable, as well as an improvement of Sersouri’s result showing that such spaces must only contain countable ω-independent families..The latter part of the chapter presents several applications of various types of bior
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Universality and the Szlenk Index,ace. The negative solution of Szlenk then consisted of showing that there exists a separable reflexive space with an arbitrarily large countable index..In the first two sections, we investigate various versions of the universality problem, with emphasis on reflexivity and complementability condition
发表于 2025-3-22 18:46:23 | 显示全部楼层
Biorthogonal Systems in Nonseparable Spaces,). It is therefore a priori unclear if every nonseparable subspace of . contains an uncountable biorthogonal system. The third section singles out some natural classes of spaces that are obtained “constructively” (representable spaces)— and hence are well-behaved in this respect, as shown by results
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