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25 Remote Warehouse Mathematics- Advanced

Other titles in the Grundlehren Der Mathematischen Wissenschaften series:

Hilbert Space Problem Book

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Hilbert Space Problem Book Cover

 

Synopses & Reviews

Publisher Comments:

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."

Synopsis:

Written for the active reader with some background in the topic, this book presents problems in Hilbert space theory, with definitions, corollaries and historical remarks, hints, proofs, answers and constructions.

Description:

Bibliography: p. 347-354.

Table of Contents

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. 

Product Details

ISBN:
9780387906850
Author:
Halmos, Paul R.
Publisher:
Springer
Author:
Halmos, P. R.
Location:
New York, NY
Subject:
History
Subject:
Problems, exercises, etc.
Subject:
Hilbert space
Subject:
Geometry - Differential
Subject:
Transformations
Subject:
Hilbert space -- Problems, exercises, etc.
Subject:
Hilbertscher Raum
Subject:
Space
Subject:
Differential geometry
Subject:
Mathematics - Advanced
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global differential geometry.
Copyright:
Edition Number:
2
Edition Description:
2nd rev. and enlarged ed. 1982
Series:
Graduate Texts in Mathematics
Series Volume:
865919
Publication Date:
19821108
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
396
Dimensions:
235 x 155 mm 1610 gr

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Related Subjects

Science and Mathematics » History of Science » General
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Mathematics » Functional Analysis

Hilbert Space Problem Book New Hardcover
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$82.75 In Stock
Product details 396 pages Springer-Verlag New York, Incorporated - English 9780387906850 Reviews:
"Synopsis" by , Written for the active reader with some background in the topic, this book presents problems in Hilbert space theory, with definitions, corollaries and historical remarks, hints, proofs, answers and constructions.
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