Hilbert Space Operators

This volume contains the contributions to the Conference on Hilbert Space Operators, held at California State University Long Beach during the week of 20-24 June 1977. The purpose of the conference was to present some recent developments and some problems in Hilbert Space Operator Theory which are likely to be of importance for further advances in the field.
Three main lecturers each delivered three lectures on the main topic of concrete representations of Hilbert space operators:
1. P. R. Halmos, Integral Operators (f(x) -> / k(x,y)f (y)dy).
2. B. Abrahamse, Multiplication Operators (f(x) -> cp(x)f (x)).
3. E. Nordgren, Composition Operators (f(x) ->f(T(x))).
Professor Halmos has included a description of the main topic in the introduction to his paper. Additionally, other lectures were given in the theory of Hilbert space operators, some of which are related to concrete representations of operators. The 21 papers in this volume contain, in varying degrees, historical background, expository accounts, the development and presentation of new ideas and results, and the posing of new problems for research.
The conference was funded jointly by the National Science Foundation (Grant number MCS 77-15176) and by the host, California State University Long Beach.
We express much gratitude to them for making the conference possible, to the authors for their manuscripts, to Elaine Barth for her excellent typing, to the participants, and to Springer-Verlag for publishing this volume.