Format:
1 Online-Ressource (506 p)
ISBN:
9783034872836
,
9783034872850
Series Statement:
International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique 20
Note:
These proceedings contain the lectures presented at the Conference on Linear Operators and Approximation held at the Oberwolfach Mathematical Research Institute, August 14-22, 1971. There were thirty-eight such lectures while four additional 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 a report on new and unsolved problems based upon special problem sessions, with later communications from the participants. In fact, two of the papers included 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 nonlinear semi-groups, structure of single operators, unitary operators, spectral and ergodic theory. Chapter II on Topics in Functional Analysis includes papers on Riesz spaces, boundedness theorems, generalized limits, and distributions. Chapter III, entitled "Approximation in Abstract Spaces", ranges from characterizations of clsses 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:
English
DOI:
10.1007/978-3-0348-7283-6
Author information:
Kahane, Jean-Pierre 1926-2017
Author information:
Szőkefalvi-Nagy, Béla 1913-1998
Author information:
Butzer, Paul L. 1928-
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