Anniversary Volume on Approximation Theory and Functional Analysis

1. Front Matter

   Pages 1-23

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2. To Academician L. Iliev on the Occasion of his 70th Anniversary

   1. To Academician L. Iliev on the Occasion of his 70th Anniversary

      • Bl. Sendov

      Pages 25-28

3. Recollections

   1. Recollections

      • Ralph Phillips

      Pages 29-33

4. Béla Szőkefalvi-Nagy

   1. Béla Szőkefalvi-Nagy

      • P. R. Halmos

      Pages 35-39

5. Adriaan Cornells Zaanen

   1. Adriaan Cornelis Zaanen

      • J. Korevaar

      Pages 41-45

6. Operator Theory

   1. Front Matter

      Pages 47-47

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   2. Subnormal Suboperators and the Subdiscrete Topology

      • P. R. Halmos

      Pages 49-65

   3. Spectral Properties of Positive Operators

      • Jacobus J. Grobler

      Pages 67-72

   4. Positive Commuting Perturbations of Selfadjoint Operators and Hyponormality

      • C. R. Putnam

      Pages 73-75

   5. The Resolvent of Generalized Self-Adjoint Operators and a Related Growth Problem

      • Lászlo Zsidó

      Pages 77-87

   6. Subspace Lattices Connected with C11-Contractions

      • László Kérchy

      Pages 89-98

   7. On the Wold Decomposition of Isometric Semigroups

      • Dumitru Gaşpar, Nicolae Suciu

      Pages 99-108

   8. On Maximally Accretive Operators in the Plane

      • H. Berens, L. Hetzelt

      Pages 109-116

7. Functional Analysis

   1. Front Matter

      Pages 117-117

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   2. Invariant Function Spaces Connected with the Holomorphic Discrete Series

      • Jaak Peetre

      Pages 119-134

   3. Derivations on Certain CSL Algebras II

      • Frank L. Gilfeather

      Pages 135-140

   4. Ideals in C(X)

      • C. B. Huijsmans

      Pages 141-150

   5. Generalised Functions as Linear Functionals on Generalized Functions

      • Tom H. Koornwinder, Jan J. Lodder

      Pages 151-163

   6. Some Embedding Theorems for Modular Classes

      • Julian Musielak

      Pages 165-172

   7. Nontangential Maximal Functions and Bounded Lower Oscillation

      • Colin Bennett

      Pages 173-185

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.

• approximation
• approximation theory
• functional analysis

• Lehrstuhl A für Mathematik, Rhein.-Westf. Techn. Hochschule Aachen, Aachen, Germany

  P. L. Butzer, R. L. Stens

• József Attila University, Szeged, Hungary

  B. Sz.-Nagy

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