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A Hilbert Space Problem Book : Graduate Texts in Mathematics - Paul R. Halmos

A Hilbert Space Problem Book

Graduate Texts in Mathematics

Hardcover Published: November 1982
ISBN: 9780387906850
Number Of Pages: 373

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From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem....

This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."

Vectors.- Spaces.- Weak Topology.- Analytic Functions.- Infinite Matrices.- Boundedness and Invertibility.- Multiplication Operators.- Operator Matrices.- Properties of Spectra.- Examples of Spectra.- Spectral Radius.- Norm Topology.- Operator Topologies.- Strong Operator Topology.- Partial Isometries.- Polar Decomposition.- Unilateral Shift.- Cyclic Vectors.- Properties of Compactness.- Examples of Compactness.- Subnormal Operators.- Numerical Range.- Unitary Dilations.- Commutators.- Toeplitz Operators.- References.- List of Symbols.- Index.

ISBN: 9780387906850
ISBN-10: 0387906851
Series: Graduate Texts in Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 373
Published: November 1982
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.77 x 16.51  x 2.54
Weight (kg): 0.73
Edition Number: 2
Edition Type: Revised