Linear Operators and Approximation. Proceedings of the Conference Held At the Oberwolfach Mathematical Research Institute, Black Forest, 1971

Butzer, P. L.; J. P. Kahane; B. Sz. Nagy (editors)

ISBN 10: 3764305908 / ISBN 13: 9783764305901

Published by Birkhauser, 1972

About this Item

Gray paper-covered boards with red title block on spine, 506 pages, 9.5 in tall. Published as volume 20 in the International Series of Numerical Mathematics. A collection of 42 essays, most are in English, 12 are in German, French, and Russian. Covers topics in operator theory, functional analysis, approximation in abstract spaces, harmonic analysis, algebraic- and spline-approximation. Spine has a wrinkle at head and tail, ownership signature on endpaper.

Seller Inventory # 004974

Bibliographic Details

• Title: Linear Operators and Approximation. Proceedings of the Conference Held At the Oberwolfach Mathematical Research Institute, Black Forest, 1971
• Publisher: Birkhauser
• Publication Date: 1972
• Language: English
• ISBN 10: 3764305908
• ISBN 13: 9783764305901
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: No Jacket
• Seller catalogs:
  • Mathematics

About this title

Synopsis

These proceedings contain the lectures presented at the Conference on Linear Operators and Approximation held at the Oberwolfach Mathematical Research In­ stitute, August 14-22, 1971. There were thirty-eight such lectures while four addi­ tional papers, subsequently submitted in writing, are also included in this volume. Two of the three lectures presented by Russian mathematicians are rendered in English, the third in Russian. Furthermore, there is areport on new and unsolved problems based upon special problem sessions, with later communications from the participants. In fact, two of the papers inc1uded are devoted to solutions of some of the problems posed. The papers have been classified according to subject matter into five chapters, but it needs little emphasis that such thematic groupings are necessarily somewhat arbitrary. Thus Chapter I on Operator Theory is concerned with linear and non­ linear semi-groups, structure of single operators, unitary operators, spectral and ergodic theory. Chapter Il on Topics in Functional Analysis inc1udes papers on Riesz spaces, boundedness theorems, generalized limits, and distributions. Chapter III, entitled "Approximation in Abstract Spaces", ranges from characterizations of c1asses of functions in approximation theory to approximation-theoretical topics connected with extensions to Banach (or more general) spaces. Chapter IV contains papers on harmonic analysis in connection with approximation and, finally, Chapter V is devoted to approximation by splines, algebraic polynomials, rational functions, and to Pade approximation. A large part of the general editorial work connected with these proceedings was competently handled by Miss F. Feber, while G.

Language Notes

Text: English, French, German, Russian