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Titlebook: An Introduction to Banach Space Theory; Robert E. Megginson Textbook 1998 Springer Science+Business Media New York 1998 Banach Space.Smoot

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發(fā)表于 2025-3-21 18:31:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Introduction to Banach Space Theory
影響因子2023Robert E. Megginson
視頻videohttp://file.papertrans.cn/156/155143/155143.mp4
學(xué)科分類Graduate Texts in Mathematics
圖書封面Titlebook: An Introduction to Banach Space Theory;  Robert E. Megginson Textbook 1998 Springer Science+Business Media New York 1998 Banach Space.Smoot
影響因子Many important reference works in Banach space theory have appeared since Banach‘s "Théorie des Opérations Linéaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text.
Pindex Textbook 1998
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0072-5285 nkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text.978-1-4612-6835-2978-1-4612-0603-3Series ISSN 0072-5285 Series E-ISSN 2197-5612
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Rotundity and Smoothness,that neither . nor . is a nonnegative real multiple of the other. Furthermore, the presence of the corners leads to the existence of multiple . for some points . of the unit sphere of each of these spaces, that is, norm-one members . of the dual space such that.. To see why this would be, let . be e
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Die Rolle des Verwenders im Buying-Centersy consequence of Proposition 2.4.8, Theorem 2.4.11, and the uniqueness of Hausdorff vector topologies for finite-dimensional vector spaces that the . norm topology of the space is the topology of the space.
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Die Rolle des Verwenders im Buying-Centerry linear operator from a finite-dimensional normed space . into any normed space . is bounded. A careful examination of the proof of that theorem shows that it essentially amounts to demonstrating that if .,…, . is a vector space basis for ., then each of the linear “coordinate functionals”α. + … +
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