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20140310151444.0 |
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100907s2010 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781441960948 |
|
978-1-4419-6094-8 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA403-403.3 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.785 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Sz.-Nagy, Béla. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Harmonic Analysis of Operators on Hilbert Space |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Béla Sz.-Nagy, Ciprian Foias, Hari Bercovici, László Kérchy. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
2. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIII, 474p. 1 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Universitext |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Contractions and Their Dilations -- Geometrical and Spectral Properties of Dilations -- Functional Calculus -- Extended Functional Calculus -- Operator-Valued Analytic Functions -- Functional Models -- Regular Factorizations and Invariant Subspaces -- Weak Contractions -- The Structure of C1.-Contractions -- The Structure of Operators of Class C0. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Harmonic analysis. |
|
|---|
| Topical term or geographic name as entry element |
Operator theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Abstract Harmonic Analysis. |
|
|---|
| Topical term or geographic name as entry element |
Operator Theory. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Foias, Ciprian. |
| Relator term |
author. |
|
|---|
| Personal name |
Bercovici, Hari. |
| Relator term |
author. |
|
|---|
| Personal name |
Kérchy, László. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781441960931 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-6094-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
