**Graduate Studies in Mathematics**

2002;
916 pp;
Hardcover
**Print ISBN: 978-0-8218-3333-9
Product Code: GSMSET**

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# An Invitation to Operator Theory (Volume 50) and Problems in Operator Theory (Volume 51)

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*Y. A. Abramovich; C. C. Aliprantis*

The authors keep the discussion self-contained and use exercises to achieve
this goal. The book contains over 600 exercises to help students master the
material developed in the text. The exercises are of varying degrees of
difficulty and play an important and useful role in the exposition. They help
to free the proofs of the main results of some technical details but provide
students with accurate and complete accounts of how such details ought to be
worked out. The exercises also contain a considerable amount of additional
material that includes many well-known results whose proofs are not readily
available elsewhere.

The companion volume, Problems in Operator Theory, also by
Abramovich and Aliprantis, is available from the AMS as Volume 51 in the
Graduate Studies in Mathematics series, and it contains complete solutions to
all exercises in

The solutions demonstrate explicitly technical details in the proofs of many
results in operator theory, providing the reader with rigorous and complete
accounts of such details. Finally, the book offers a considerable amount of
additional material and further developments. By adding extra material to many
exercises, the authors have managed to keep the presentation as self-contained
as possible. The best way of learning mathematics is by doing mathematics, and
the book

Prerequisites to each book are the standard introductory graduate courses in
real analysis, general topology, measure theory, and functional analysis.