Interpolation of linear operators
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Interpolation of linear operators

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Published by American Mathematical Society in Providence, R.I .
Written in English

Subjects:

  • Linear operators.

Book details:

Edition Notes

Statementby S.G. Kreĭn, Ju.I. Petunin, E.M. Semenov.
SeriesTranslations of mathematical monographs ;, v. 54
ContributionsPetunin, I͡U︡riĭ Ivanovich., Semenov, E. M.
Classifications
LC ClassificationsQA329.2 .K7313 1982
The Physical Object
Paginationvii, 375 p. ;
Number of Pages375
ID Numbers
Open LibraryOL3780581M
ISBN 100821845047
LC Control Number81020637

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The interpolation theory for linear operators expounded in the book is to a great extent connected with such an approach. The first interpolation theorem in operator theory was obtained by M. Riesz in in the form of an inequality for bilinear forms. A sharpening and operator formulation of it were given by G. O. ThoOO. Imbedded, intermediate, and interpolation banach spaces --Interpolation in spaces of measurable functions --Scales of banach spaces --Interpolation methods --Interpolation in spaces of smooth functions. Extension and Interpolation of Linear Operators and Matrix Functions Extension and Interpolation of Linear Operators and Matrix Functions. Authors: Gohberg, I. Free Preview. Buy this book eB40 €. Extension and Interpolation of Linear Operators and Matrix Functions. Editors (view affiliations) I. Gohberg; Search within book. Front Matter. Pages Lossless Inverse Scattering and Reproducing Kernels for Upper Triangular Operators. Daniel Alpay, Patrick Dewilde, Harry Dym. Pages Zero-Pole Structure of Nonregular Rational.

  Description This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, Book Edition: 1. interpolation theory for linear operators expounded in the book is to a great extent connected with such an approach. The first interpolation theorem in operator theory was obtained by M. Riesz in in the form of an inequality for bilinear forms. INTERPOLATION OF LINEAR OPERATORS (x) BY ELIAS M. STEIN The aim of this paper is to prove a generalization of a well-known con-vexity theorem of M. Riesz [8]. The Riesz theorem was originally deduced by "real-variable" techniques. Later, Thorin [10], Tamarkin and Zygmund. The survey is devoted to the modern state of the theory of interpolation of linear operators acting in Banach spaces. Principal attention is devoted to real and complex methods and applications of the theory of interpolation to by:

Interpolation of Operators. This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant . Sunehag P () Subcouples of codimension one and interpolation of operators that almost agree, Journal of Approximation Theory, , (), Online publication date: 1-Sep Brenner S () Convergence of the multigrid V-cycle algorithm for second-order boundary value problems without full elliptic regularity, Mathematics of. Read the latest chapters of Pure and Applied Mathematics at , Elsevier’s leading platform of peer-reviewed scholarly literatureMissing: linear operators. INTERPOLATION OF LINEAR OPERATORS We shall need a generalization of the above fact due to I. I. Hirschman [5], which he used in another connection involvinig "interpolation." We shall use the following definition: A function:J(z) analytic in the open strip 0.