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Selecta I - Research Contributions (Paperback, 1983. Reprint 2014 of the 1983 edition)
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Selecta I - Research Contributions (Paperback, 1983. Reprint 2014 of the 1983 edition)
Series: Springer Collected Works in Mathematics
Expected to ship within 10 - 15 working days
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This volume and its companion present a selection of the
mathematical writings of P. R. Halmos. The present volume consists
of research publications plus two papers which, although of a more
expository nature, were deemed primarily of interest to the
specialist ("Ten Problems in Hilbert Space" (1970d), and" Ten Years
in Hilbert Space" (1979b)). The remaining expository and all the
popular writings are in the second volume. The papers in the
present volume are arranged chronologically. As it happens, that
arrangement also groups the papers according to subject matter:
those published before 1950 deal with probability and measure
theory, those after 1950 with operator theory. A series of papers
from the mid 1950's on algebraic logic is excluded; the papers were
republished by Chelsea (New York) in 1962 under the title"
Algebraic Logic." This volume contains two introductory essays, one
by Nathaniel Friedman on Halmos's work in ergodic theory, one by
Donald Sarason on Halmos's work in operator theory. There is an
essay by Leonard Gillman on Halmos's expository and popular
writings in the second volume. The editors wish to express their
thanks to the staff of Springer-Verlag. They are grateful also for
the help of the following people: C. Apostol, W. B. Arveson, R. G.
Douglas, C. Pearcy, S. Popa, P. Rosenthal, A. L. Shields, D.
Voiculescu, S. Walsh. Berkeley, CA Donald E. Sarason vii WORK IN
OPERATOR THEORY P. R. Halmos's first papers on Hilbert space
operators appeared in 1950.
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