Interpolation Theory

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...

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Hlavní autor: Lunardi, Alessandra (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Pisa : Scuola Normale Superiore, 2018.
Vydání:3rd ed. 2018.
Edice:Lecture Notes (Scuola Normale Superiore) ; 16
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ISBN:9788876426384
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245 1 0 |a Interpolation Theory  |h [electronic resource] /  |c by Alessandra Lunardi. 
250 |a 3rd ed. 2018. 
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300 |a XIV, 202 p.  |b online resource. 
490 1 |a Lecture Notes (Scuola Normale Superiore) ;  |v 16 
500 |a Mathematics and Statistics  
505 0 |a 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. 
516 |a text file PDF 
520 |a 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. 
650 0 |a Functional analysis. 
650 0 |a Numerical analysis. 
650 0 |a Operator theory. 
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