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＜電子ブック＞
Interpolation Theory / by Alessandra Lunardi
(Lecture Notes. ISSN:29462983 ; 16)

版	3rd ed. 2018.
出版者	(Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale)
出版年	2018
大きさ	XIV, 199 p : online resource
著者標目	*Lunardi, Alessandra author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Numerical analysis LCSH:Operator theory FREE:Functional Analysis FREE:Numerical Analysis FREE:Operator Theory
一般注記	1 Real interpolation -- 2 Complex interpolation -- 3 Interpolation and domains of operators -- 4 Powers of positive operators -- 5 Interpolation and semigroups -- 6 Analytic semigroups and interpolation -- Appendix: The Bochner integral 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 HTTP:URL=https://doi.org/10.1007/978-88-7642-638-4

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