Franklin

Interpolation Theory / by Alessandra Lunardi.

Author/Creator:
Lunardi, Alessandra. author., Author,
Edition:
3rd ed. 2018.
Publication:
Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2018.
Series:
Mathematics and Statistics (Springer-11649)
Lecture Notes (Scuola Normale Superiore) ; 16
Lecture Notes (Scuola Normale Superiore) ; 16
Format/Description:
Book
1 online resource (XIV, 202 pages)
Subjects:
Functional analysis.
Numerical analysis.
Operator theory.
Local subjects:
Functional Analysis.
Numerical Analysis.
Operator Theory.
System Details:
text file PDF
Summary:
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.
Contents:
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.
Contributor:
SpringerLink (Online service)
Contained In:
Springer eBooks
Other format:
Printed edition:
ISBN:
978-88-7642-638-4
9788876426384
Publisher Number:
10.1007/978-88-7642-638-4 doi
Access Restriction:
Restricted for use by site license.
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