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20140310151443.0 |
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101119s2011 xxk| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780857291837 |
|
978-0-85729-183-7 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA319-329.9 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.7 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
London : |
| -- |
Springer London, |
| -- |
2011. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Roch, Steffen. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Non-commutative Gelfand Theories |
| Medium |
[electronic resource] : |
| Remainder of title |
A Tool-kit for Operator Theorists and Numerical Analysts / |
| Statement of responsibility, etc |
by Steffen Roch, Pedro A. Santos, Bernd Silbermann. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIV, 383p. 14 illus., 2 illus. in color. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Universitext |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Banach algebras -- Local principles -- Banach algebras generated by idempotents -- Singular integral operators -- Convolution operators -- Algebras of operator sequences. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Fourier analysis. |
|
|---|
| Topical term or geographic name as entry element |
Functional analysis. |
|
|---|
| Topical term or geographic name as entry element |
Integral equations. |
|
|---|
| Topical term or geographic name as entry element |
Operator theory. |
|
|---|
| Topical term or geographic name as entry element |
Numerical analysis. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Functional Analysis. |
|
|---|
| Topical term or geographic name as entry element |
Numerical Analysis. |
|
|---|
| Topical term or geographic name as entry element |
Integral Equations. |
|
|---|
| Topical term or geographic name as entry element |
Operator Theory. |
|
|---|
| Topical term or geographic name as entry element |
Fourier Analysis. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Santos, Pedro A. |
| Relator term |
author. |
|
|---|
| Personal name |
Silbermann, Bernd. |
| 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 |
9780857291820 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-85729-183-7 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
