MARC details
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03573nam a22004935i 4500 |
| 001 - CONTROL NUMBER |
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978-0-387-85529-5 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20210118114613.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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110406s2009 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780387855295 |
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978-0-387-85529-5 |
| 024 ## - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-0-387-85529-5 |
| Source of number or code |
doi |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA319-329.9 |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
PBKF |
| Source |
bicssc |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT037000 |
| Source |
bisacsh |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
PBKF |
| Source |
thema |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.7 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
MacCluer, Barbara. |
| Relator term |
author. |
| Relator code |
aut |
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http://id.loc.gov/vocabulary/relators/aut |
| 245 ## - TITLE STATEMENT |
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| Title |
Elementary Functional Analysis |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Barbara MacCluer. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. 2009. |
| 264 ## - |
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New York, NY : |
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Springer New York : |
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Imprint: Springer, |
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2009. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
X, 208 p. 5 illus. |
| Other physical details |
online resource. |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 347 ## - |
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text file |
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PDF |
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rda |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Graduate Texts in Mathematics, |
| International Standard Serial Number |
0072-5285 ; |
| Volume number/sequential designation |
253 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Hilbert Space Preliminaries -- Operator Theory Basics -- The Big Three -- Compact Operators -- Banach and C -Algebras -- The Spectral Theorem. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This text is intended for a one-semester introductory course in functional analysis for graduate students and well-prepared advanced undergraduates in mathematics and related fields. It is also suitable for self-study, and could be used for an independent reading course for undergraduates preparing to start graduate school. While this book is relatively short, the author has not sacrificed detail. Arguments are presented in full, and many examples are discussed, making the book ideal for the reader who may be learning the material on his or her own, without the benefit of a formal course or instructor. Each chapter concludes with an extensive collection of exercises. The choice of topics presented represents not only the author's preferences, but also her desire to start with the basics and still travel a lively path through some significant parts of modern functional analysis. The text includes some historical commentary, reflecting the author's belief that some understanding of the historical context of the development of any field in mathematics both deepens and enlivens one's appreciation of the subject. The prerequisites for this book include undergraduate courses in real analysis and linear algebra, and some acquaintance with the basic notions of point set topology. An Appendix provides an expository discussion of the more advanced real analysis prerequisites, which play a role primarily in later sections of the book. Barbara MacCluer is Professor of Mathematics at University of Virginia. She also co-authored a book with Carl Cowen, Composition Operators on Spaces of Analytic Functions (CRC 1995). |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functional analysis. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functional Analysis. |
| -- |
https://scigraph.springernature.com/ontologies/product-market-codes/M12066 |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 ## - HOST ITEM ENTRY |
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| Title |
Springer Nature eBook |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9781441927538 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9780387855851 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9780387855288 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9781493991105 |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Graduate Texts in Mathematics, |
| -- |
0072-5285 ; |
| Volume number/sequential designation |
253 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-0-387-85529-5">https://doi.org/10.1007/978-0-387-85529-5</a> |
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ZDB-2-SMA |
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ZDB-2-SXMS |
