MARC details
| 000 -LEADER |
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| fixed length control field |
03349nam a2200397Ki 4500 |
| 001 - CONTROL NUMBER |
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| control field |
ocn861693022 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240726105433.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
131029s2011 enk ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NT |
| Language of cataloging |
eng |
| Description conventions |
rda |
| -- |
pn |
| Transcribing agency |
NT |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780191548543 |
| Qualifying information |
|
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA322 |
| Item number |
.I587 2011 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
NTA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Allan, Graham R., |
| Dates associated with a name |
-2007. |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
Introduction to Banach spaces and algebras /Graham Allan ; prepared for publication by H. Garth Dales. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Oxford : |
| Name of publisher, distributor, etc. |
Oxford University Press, |
| Date of publication, distribution, etc. |
(c)2011. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (vii, 371 pages) |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
data file |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Oxford graduate texts in mathematics ; |
| Volume # |
20 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographies and index. |
| 520 3# - SUMMARY, ETC. |
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| Summary, etc. |
Banach spaces and algebras are a key topic of pure mathematics. Graham Allan's careful and detailed introductory account will prove essential reading for anyone wishing to specialise in functional analysis and is aimed at final year undergraduates or masters level students. Based on the author's lectures to fourth year students at Cambridge University, the book assumes knowledge typical of first degrees in mathematics, including metric spaces, analytic topology, and complex analysis. However, readers are not expected to be familiar with the Lebesgue theory of measure and integration. The text begins by giving the basic theory of Banach spaces, including dual spaces and bounded linear operators. It establishes forms of the theorems that are the pillars of functional analysis, including the Banach-Alaoglu, Hahn-Banach, uniform boundedness, open mapping, and closed graph theorems. There are applications to Fourier series and operators on Hilbert spaces. The main body of the text is an introduction to the theory of Banach algebras. A particular feature is the detailed account of the holomorphic functional calculus in one and several variables; all necessary background theory in one and several complex variables is fully explained, with many examples and applications considered. Throughout, exercises at sections ends help readers test their understanding, while extensive notes point to more advanced topics and sources. |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
part I. Introduction to Banach spaces. 1. Preliminaries -- |
| Title |
2. Elements of normed spaces -- |
| -- |
3. Banach spaces -- |
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part II. Introduction to Banach algebras. 4. Banach algebras -- |
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5. Representation theory -- |
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6. Algebras with an involution -- |
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7. The Borel functional calculus -- |
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part III. Several complex variables and Banach algebras. 8. Introduction to several complex variables -- |
| -- |
9. The holomorphic functional calculus in several variables. |
| 530 ## - COPYRIGHT INFORMATION: |
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| COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
| Uniform Resource Identifier |
<a href="b">b</a> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Banach spaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Banach algebras. |
| 655 #1 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic Books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Dales, H. G. |
| Dates associated with a name |
1944- |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Fuller form of name |
(Harold G.), |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=655428&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=655428&site=eds-live&custid=s3260518</a> |
| -- |
Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
| DONATED BY: |
|
| VENDOR |
EBSCO |
| Classification part |
QA. |
| PUBLICATION YEAR |
2011 |
| LOCATION |
ONLINE |
| REQUESTED BY: |
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| -- |
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| -- |
NFIC |
| Source of classification or shelving scheme |
|
| 994 ## - |
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| -- |
02 |
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NT |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
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| a |
1 |
| b |
Cynthia Snell |
| c |
1 |
| d |
Cynthia Snell |