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Titlebook: Convex Functions, Monotone Operators and Differentiability; Robert R. Phelps Book 19891st edition Springer-Verlag Berlin Heidelberg 1989 b

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書目名稱Convex Functions, Monotone Operators and Differentiability
編輯Robert R. Phelps
視頻videohttp://file.papertrans.cn/238/237841/237841.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Convex Functions, Monotone Operators and Differentiability;  Robert R. Phelps Book 19891st edition Springer-Verlag Berlin Heidelberg 1989 b
描述These notes start with an introduction to the differentiability of convex functions on Banach spaces, leading to the study of Asplund spaces and their intriguing relationship to monotone operators (and more general set-values maps) and Banach spaces with the Radon-Nikodym property. While much of this is classical, some of it is presented using streamlined proofs which were not available until recently. Considerable attention is paid to contemporary results on variational principles and perturbed optimization in Banach spaces, exhibiting their close connections with Asplund spaces. An introductory course in functional analysis is adequate background for reading these notes which can serve as the basis for a seminar of a one-term graduate course. There are numerous excercises, many of which form an integral part of the exposition.
出版日期Book 19891st edition
關(guān)鍵詞banach spaces; functional analysis; integral
版次1
doihttps://doi.org/10.1007/978-3-662-21569-2
isbn_ebook978-3-662-21569-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1989
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Frieden und Sicherheit durch mehr Waffen?fferentiable almost everywhere. It has been known for at least thirty years that no such theorem holds for Fréchet differentiability; there exist simple locally Lipschitzian maps of separable Hilbert space into itself which are nowhere Fréchet differentiable. There are even several examples (with su
板凳
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Notes and Remarks,fferentiable almost everywhere. It has been known for at least thirty years that no such theorem holds for Fréchet differentiability; there exist simple locally Lipschitzian maps of separable Hilbert space into itself which are nowhere Fréchet differentiable. There are even several examples (with su
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Lecture Notes in Mathematicshttp://image.papertrans.cn/c/image/237841.jpg
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Convex Functions, Monotone Operators and Differentiability978-3-662-21569-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
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https://doi.org/10.1007/978-3-662-21569-2banach spaces; functional analysis; integral
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Springer-Verlag Berlin Heidelberg 1989
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Vom amerikanischen Traum zum AlbtraumOur differentiability results for convex functions made heavy and consistent use of continuity, but in both theoretical and applied aspects of convex functions, it is sometimes desirable to weaken this hypothesis. Lower semicontinuity is precisely what is needed.
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