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標(biāo)題: Titlebook: An Introductory Course in Functional Analysis; Adam Bowers,Nigel J. Kalton Textbook 2014 Springer Science+Business Media, LLC, part of Spr [打印本頁(yè)]

作者: Indigent    時(shí)間: 2025-3-21 16:12
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Introduction,Of course, in infinite dimensions, certain issues (such as summability) become much more delicate, and accordingly additional structure is imposed. Perhaps the most natural structure imposed upon a vector space is that of a ..
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Consequences of Convexity,s, are sufficiently complex that we can say something interesting about their structure. Banach spaces are topological vector spaces where the topology is determined by a complete norm, and in this chapter we will get some idea of how they fit into a more general topological framework.
作者: 有權(quán)    時(shí)間: 2025-3-23 00:14
Textbook 2014 but .why., the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hah
作者: vitrectomy    時(shí)間: 2025-3-23 04:36

作者: 生銹    時(shí)間: 2025-3-23 07:44
Adam Bowers,Nigel J. KaltonPresents the basics of functional analysis according to Nigel Kalton, a leader in the field.Enables the reader to appreciate and apply the theory by explaining both the why and how of the subject‘s de
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Universitexthttp://image.papertrans.cn/a/image/155612.jpg
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作者: 船員    時(shí)間: 2025-3-23 21:26
https://doi.org/10.1007/978-1-4419-8342-8ourselves to considering complex Banach spaces, which will allow us to make use of powerful theorems from complex analysis. (For a brief review of results from complex analysis, see Sect.?B.2 in the appendix.)
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作者: atopic    時(shí)間: 2025-3-24 03:47
The General Theory of Atmospheric TurbulenceSeveral theorems in functional analysis have been labeled as “the Hahn–Banach Theorem.” At the heart of all of them is what we call here the Hahn–Banach Extension Theorem, given in Theorem?3.4, below. This theorem is at the foundation of modern functional analysis, and its use is so pervasive that its importance cannot be overstated.
作者: CANE    時(shí)間: 2025-3-24 06:49
https://doi.org/10.1007/978-3-211-78777-9Suppose . is a vector space (over . or .) and let . be a linear operator. Let us recall some basic definitions from linear algebra. The . (or .) of . is the subspace of . given by .. The . (or .) of . is given by .. We say that . is an . of . if . and there exists some scalar λ (called an .) such that ..
作者: 浸軟    時(shí)間: 2025-3-24 14:40
Familial Models for Count Data,In this chapter, we will consider the . for compact hermitian operators on a Hilbert space.
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作者: cognizant    時(shí)間: 2025-3-25 01:49
Compact Operators and Fredholm Theory,Suppose . is a vector space (over . or .) and let . be a linear operator. Let us recall some basic definitions from linear algebra. The . (or .) of . is the subspace of . given by .. The . (or .) of . is given by .. We say that . is an . of . if . and there exists some scalar λ (called an .) such that ..
作者: 殺蟲劑    時(shí)間: 2025-3-25 07:15
Hilbert Space Theory,In this chapter, we will consider the . for compact hermitian operators on a Hilbert space.
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作者: creditor    時(shí)間: 2025-3-25 15:05
A Review of Methods for Objective Analysis,orms.where .. The metric arising from the first norm is ., whereas the metric induced by the second norm is not (i.e., there exist Cauchy sequences that fail to converge). Completeness of a metric is a very profitable property, as we shall see in this chapter. The first theorem we shall meet is a cl
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作者: 拋棄的貨物    時(shí)間: 2025-3-25 22:55
https://doi.org/10.1007/978-1-4419-8342-8ourselves to considering complex Banach spaces, which will allow us to make use of powerful theorems from complex analysis. (For a brief review of results from complex analysis, see Sect.?B.2 in the appendix.)
作者: 托人看管    時(shí)間: 2025-3-26 03:08

作者: MOT    時(shí)間: 2025-3-26 06:20
978-1-4939-1944-4Springer Science+Business Media, LLC, part of Springer Nature 2014
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作者: 沒(méi)有準(zhǔn)備    時(shí)間: 2025-3-26 13:32

作者: Stricture    時(shí)間: 2025-3-26 19:47
Consequences of Completeness,orms.where .. The metric arising from the first norm is ., whereas the metric induced by the second norm is not (i.e., there exist Cauchy sequences that fail to converge). Completeness of a metric is a very profitable property, as we shall see in this chapter. The first theorem we shall meet is a cl
作者: 異端    時(shí)間: 2025-3-26 22:49
Consequences of Convexity,first recall some notions from general topology and then introduce the concept of a topological vector space. These spaces, which include Banach spaces, are sufficiently complex that we can say something interesting about their structure. Banach spaces are topological vector spaces where the topolog
作者: limber    時(shí)間: 2025-3-27 03:28
Banach Algebras,ourselves to considering complex Banach spaces, which will allow us to make use of powerful theorems from complex analysis. (For a brief review of results from complex analysis, see Sect.?B.2 in the appendix.)
作者: Fresco    時(shí)間: 2025-3-27 05:50
0172-5939 nalysis. equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study..978-1-4939-1944-4978-1-4939-1945-1Series ISSN 0172-5939 Series E-ISSN 2191-6675
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