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Titlebook: History of Banach Spaces and Linear Operators; Albrecht Pietsch Book 2007 Birkh?user Boston 2007 Banach space.History of Mathematics.bound

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發(fā)表于 2025-3-21 16:42:54 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱History of Banach Spaces and Linear Operators
編輯Albrecht Pietsch
視頻videohttp://file.papertrans.cn/428/427526/427526.mp4
概述Written by a distinguished specialist in functional analysis, the text is a comprehensive treatment of the history of Banach spaces and linear operators.Other comprehensive texts on Banach spaces focu
圖書封面Titlebook: History of Banach Spaces and Linear Operators;  Albrecht Pietsch Book 2007 Birkh?user Boston 2007 Banach space.History of Mathematics.bound
描述make it look much more logical, but actually it happens quite differently. ? Atiyah [2004 ] The monographs A. F. Monna: Functional Analysis in Historical Perspective (1973), and J. Dieudonne: ′ History of Functional Analysis (1981), as well as all articles devoted to the history of functional analysis deal only with the development before 1950. Now the time has come to cover the second half of the twentieth century too. I have undertaken this adventure. Let me introduce myself by telling you that I received my M. Sc. degree in 1958, just at the time when the renaissance of Banach space theory started. Thus I have ?rst-hand experience of the progress achieved during the past 50 years. Due to the explosion of knowledge, writing about functional analysis as a whole seems to be no longer possible. Hence this book is focused on Banach spaces and (abstract bounded) linear operators. Other subjects such as topologies, measures and integrals, locally convex linear spaces, Banach lattices, and Banach algebras are treated only in so far as they turn out to be relevant for this purpose. The interplay with set theory is described carefully: Which axioms are needed in order to prove the Hahn–Ba
出版日期Book 2007
關(guān)鍵詞Banach space; History of Mathematics; bounded linear operators; functional analysis; harmonic analysis
版次1
doihttps://doi.org/10.1007/978-0-8176-4596-0
isbn_ebook978-0-8176-4596-0
copyrightBirkh?user Boston 2007
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沙發(fā)
發(fā)表于 2025-3-21 20:14:42 | 只看該作者
板凳
發(fā)表于 2025-3-22 04:27:43 | 只看該作者
s were collected and written out by Drs. Catherine Doleans, Jean Haezendonck and Roch Roy. They were published in French by the Presses of the University of Montreal as part of their series of Seminaires de Mathematiques Superieures. Twenty years later it was decided that a Chinese translation could
地板
發(fā)表于 2025-3-22 06:18:39 | 只看該作者
5#
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發(fā)表于 2025-3-22 18:37:55 | 只看該作者
Classical Banach Spaces,hese concepts are needed for our purpose. The same holds for the theory of Banach algebras. Even under this restriction, more room has been spent than I like. On the other hand, these are fascinating subjects.
8#
發(fā)表于 2025-3-23 00:49:33 | 只看該作者
Basic Results from the Post-Banach Period,ore important. Thus the interval from 1932 to 1958 that, by definition, is called the . (see p. xix) should not be taken as a dogma. This remark is supposed to justify the fact that the present chapter contains many results that were obtained much later. A typical example is Rosenthal’s .-theorem; t
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發(fā)表于 2025-3-23 02:56:47 | 只看該作者
10#
發(fā)表于 2025-3-23 06:50:42 | 只看該作者
Mathematics Is Made by Mathematicians,Since it was impossible to mention all colleagues who contributed to Banach space theory, the result is a subjective selection, heavily influenced by my knowledge and taste. I hope that the readers will accept my sincere apologies for any omissions and misjudgments.
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