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Titlebook: Interpolation Theory; Alessandra Lunardi Textbook 2018Latest edition Scuola Normale Superiore Pisa 2018 Interpolation.Bochner integral.ana

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书目名称Interpolation Theory
编辑Alessandra Lunardi
视频video
概述Is the third edition of the 1999 lecture notes of the courses on interpolation theory.Elementary level, in contrast to most literature on the subject.Clear and simple, rather than general, presentatio
丛书名称Publications of the Scuola Normale Superiore
图书封面Titlebook: Interpolation Theory;  Alessandra Lunardi Textbook 2018Latest edition Scuola Normale Superiore Pisa 2018 Interpolation.Bochner integral.ana
描述.This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999..In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality..In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality..The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations..Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis..
出版日期Textbook 2018Latest edition
关键词Interpolation; Bochner integral; analytic semigroups; elliptic PDE’s; Hilbert spaces; K-method; trace meth
版次3
doihttps://doi.org/10.1007/978-88-7642-638-4
isbn_softcover978-88-7642-639-1
isbn_ebook978-88-7642-638-4Series ISSN 2239-1460 Series E-ISSN 2532-1668
issn_series 2239-1460
copyrightScuola Normale Superiore Pisa 2018
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Real interpolation,Let (.) be a real or complex interpolation couple.
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Interpolation and domains of operators,Let . be a real or complex Banach space with norm ∥ • ∥. In this section we consider a linear operator .(.) ⊂ . such that
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Analytic semigroups and interpolation,Throughout the chapter . is a complex Banach space, .(.) ⊂ . ↦ . is a sectorial operator (., a linear operator satisfying (5.1)), and . is the semigroup generated by ..
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Alessandra LunardiIs the third edition of the 1999 lecture notes of the courses on interpolation theory.Elementary level, in contrast to most literature on the subject.Clear and simple, rather than general, presentatio
发表于 2025-3-23 07:10:06 | 显示全部楼层
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