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Finite Sections of Band-Dominated Operators. (Record no. 69656)

MARC details
000 -LEADER
fixed length control field 03437nam a22004573i 4500
001 - CONTROL NUMBER
control field EBC3114125
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124601.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2008 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470405014
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821840429
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114125
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114125
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11039744
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922981695
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA326 -- .R63 2008eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.55
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Roch, Steffen.
245 10 - TITLE STATEMENT
Title Finite Sections of Band-Dominated Operators.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2008.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2008.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (104 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.191
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Chapter 1. Introduction: Band-dominated operators -- Chapter 2. Stability -- 2.1. Fredholm band-dominated operators and their indices -- 2.2. Algebras of matrix sequences -- 2.3. Stability vs. Fredholmness -- 2.4. Stability of the finite sections method -- 2.5. Band-dominated operators with slowly oscillating coefficients -- 2.6. The role of the index -- 2.7. The C*-algebra of the finite sections method -- 2.8. Another perspective on localization -- Chapter 3. Stable regularizability -- 3.1. Moore-Penrose invertibility in C*-algebras -- 3.2. Stable regularizability vs. Moore- Penrose invertibility -- 3.3. Stable regularizability of the finite sections method -- Chapter 4. Compactness -- 4.1. Compact sequences -- 4.2. Characterization via singular values -- 4.3. Central rank characterizations -- 4.4. Minimal and maximal characterizations -- 4.5. Compact sequences in S(N) and S(Z) -- Chapter 5. Fredholmness -- 5.1. Fredholm sequences -- 5.2. Fredholmness and stability -- 5.3. Fredholmness and stable regularizability -- 5.4. Fredholmness of the finite sections method -- 5.5. Slowly oscillating coefficients -- Chapter 6. Essential fractality -- 6.1. Fractality of quotient maps -- 6.2. J-fractal algebras -- 6.3. Essential fractality and singular values -- 6.4. Essential fractality of the finite sections algebras -- Chapter 7. Applications -- 7.1. Approximation numbers -- 7.2. Rank-preserving discretizations -- 7.3. Arveson dichotomy: band- dominated operators -- 7.4. Arveson dichotomy: the general setting -- 7.5. Essential spectra -- 7.6. Essential pseudospectra -- 7.7. Pseudomodes -- 7.8. Determinants -- Bibliography -- Index.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Operator algebras.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Operator theory.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Roch, Steffen
Title Finite Sections of Band-Dominated Operators
Place, publisher, and date of publication Providence : American Mathematical Society,c2008
International Standard Book Number 9780821840429
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114125">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114125</a>
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