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Anniversary Volume on Approximation Theory and Functional Analysis

  • P. L. Butzer
  • R. L. Stens
  • B. Sz.-Nagy

Table of contents

  1. Front Matter
    Pages 1-23
  2. To Academician L. Iliev on the Occasion of his 70th Anniversary

  3. Recollections

    1. Ralph Phillips
      Pages 29-33
  4. Béla Szőkefalvi-Nagy

    1. P. R. Halmos
      Pages 35-39
  5. Adriaan Cornells Zaanen

    1. J. Korevaar
      Pages 41-45
  6. Operator Theory

  7. Functional Analysis

    1. Front Matter
      Pages 117-117
    2. Frank L. Gilfeather
      Pages 135-140
    3. C. B. Huijsmans
      Pages 141-150
    4. Tom H. Koornwinder, Jan J. Lodder
      Pages 151-163
    5. Julian Musielak
      Pages 165-172
  8. Abstract Approximation

    1. Front Matter
      Pages 187-187
    2. Werner Dickmeis
      Pages 201-206
    3. Robert Sharpley
      Pages 207-211
    4. R. A. DeVore, R. C. Sharpley, S. D. Riemenschneider
      Pages 213-222
    5. Ronald A. DeVore
      Pages 223-230
  9. Approximation in Real Domains

  10. Functions of a Complex Variable and Approximation

    1. Front Matter
      Pages 315-315
    2. Walter K. Hayman, Donald Kershaw, Terry J. Lyons
      Pages 317-327
    3. James Rovnyak
      Pages 329-334
    4. Robert Gervais, Qazi Ibadur Rahman, Gerhard Schmeisser
      Pages 355-362
    5. Paul L. Butzer, Sigmar Ries, Rudolf L. Stens
      Pages 363-377
  11. Interpolation

    1. Front Matter
      Pages 379-379
    2. A. Jakimovski, D. C. Russell, M. Stieglitz
      Pages 403-414
  12. Orthogonal Functions and Harmonic Analysis

  13. Differential and Difference Equations

    1. Front Matter
      Pages 493-493

About this book

Introduction

These Proceedings include 42 of the 49 invited conference papers, three papers sub­ mitted subsequently, and a report devoted to new and unsolved problems based on two special problem sessions and as augmented by later communications from the participants. In addition, there are four short accounts that emphasize the personality of the scholars to whom the proceedings are dedicated. Due to the large number of contributors, the length of the papers had to be restricted. This volume is again devoted to recent significant results obtained in approximation theory, harmonic analysis, functional analysis, and operator theory. The papers solicited include in addition survey articles that not only describe fundamental advances in their subfields, but many also emphasize basic interconnections between the various research areas. They tend to reflect the range of interests of the organizers and of their immediate colleagues and collaborators. The papers have been grouped according to subject matter into ten chapters. Chap­ ter I, on operator theory, is devoted to certain classes of operators such as contraction, hyponormal, and accretive operators, as well as to suboperators and semi groups of operators. Chapter II, on functional analysis, contains papers on function spaces, algebras, ideals, and generalized functions. Chapter III, on abstract approximation, is concerned with the comparison of approximation processes, the gliding hump method, certain inter­ polation spaces, and n-widths.

Keywords

approximation approximation theory functional analysis

Editors and affiliations

  • P. L. Butzer
    • 1
  • R. L. Stens
    • 1
  • B. Sz.-Nagy
    • 2
  1. 1.Lehrstuhl A für MathematikRhein.-Westf. Techn. Hochschule AachenAachenGermany
  2. 2.József Attila UniversitySzegedHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-5432-0
  • Copyright Information Birkhäuser Basel 1984
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-5434-4
  • Online ISBN 978-3-0348-5432-0
  • Series Online ISSN 2296-6072
  • Buy this book on publisher's site