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The Method of Orbits in Interpolation Theory by V. I. Ovchinnikov,...; ed. by Jaak Peetre,.. is a nonfiction available to read on EtoBox.

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Front cover......Page 1 Mathematical Reports......Page 2 Title......Page 3 Series......Page 4 Title page......Page 5 Contents......Page 7 Editor's Introduction......Page 11 Introduction......Page 13 1.1 Definition of a Banach couple......Page 19 1.2 Examples of Banach couples......Page 21 1.3 The sum and the intersection of the spaces of a couple......Page 24 1.4 Mappings of Banach couples......Page 25 1.5 Ideals of maps of Banach couples......Page 28 1.6 Orbits of elements. Orbits and coorbits of spaces......Page 32 1.7 Interpolation functors. The characteristic function of an interpolation functor......Page 34 1.8 Examples of interpolation functors......Page 36 §2 Duality for orbits and coorbits......Page 39 3.1 Elementary properties of the $K$-functional......Page 46 3.2 The $K$-functional and nonlinear bounded operators......Page 50 3.3 The functors of orbits and the $K$-functional......Page 53 3.4 The computation of the $K$-functional in special Banach couples......Page 54 4.1 The notion of a generating element of a function......Page 60 4.2 The classification of weight sequences......Page 63 5.1 The classical $K$-monotone couples......Page 71 5.2 Interpolation from the couple

Who reads The Method of Orbits in Interpolation Theory?

Author

V. I. Ovchinnikov,...; ed. by Jaak Peetre,..

Publisher

Routledge

Published

1984

Language

EN

ISBN

9783718602599

Category

nonfiction

Subjects

Mathematics, Stem