LEADER 00000cam a2200673Ki 4500 
001    ocn861693022 
003    OCoLC 
005    20160527040637.4 
006    m     o  d         
007    cr cnu---unuuu 
008    131029s2011    enk     ob    001 0 eng d 
019    862049892 
020    9780191548543|q(electronic book) 
020    0191548545|q(electronic book) 
020    |z9780199206544 
020    |z9780199206537 
020    |z0199206538 
020    |z0199206546 
035    (OCoLC)861693022|z(OCoLC)862049892 
040    N$T|beng|erda|epn|cN$T|dOCLCF|dYDXCP|dEBLCP|dDEBSZ|dOCLCQ 
049    RIDW 
050  4 QA322.2|b.A45 2011eb 
072  7 MAT|x005000|2bisacsh 
072  7 MAT|x034000|2bisacsh 
082 04 515.732|222 
084    17,1|2ssgn 
084    31.46|2bcl 
084    SK 600|2rvk 
090    QA322.2|b.A45 2011eb 
100 1  Allan, Graham R.,|d1936-2007.|0https://id.loc.gov/
       authorities/names/nb2010031197 
245 10 Introduction to Banach spaces and algebras /|cGraham Allan
       ; prepared for publication by H. Garth Dales. 
264  1 Oxford :|bOxford University Press,|c2011. 
300    1 online resource (vii, 371 pages). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc 
347    text file|2rdaft 
490 1  Oxford graduate texts in mathematics ;|v20 
504    Includes bibliographical references and index. 
505 0  pt. I. Introduction to Banach spaces. 1. Preliminaries -- 
       2. Elements of normed spaces -- 3. Banach spaces -- pt. 
       II. Introduction to Banach algebras. 4. Banach algebras --
       5. Representation theory -- 6. Algebras with an involution
       -- 7. The Borel functional calculus -- pt. III. Several 
       complex variables and Banach algebras. 8. Introduction to 
       several complex variables -- 9. The holomorphic functional
       calculus in several variables. 
520 3  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. 
588 0  Print version record. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Banach spaces.|0https://id.loc.gov/authorities/subjects/
       sh85011441 
650  0 Banach algebras.|0https://id.loc.gov/authorities/subjects/
       sh85011437 
650  7 Banach spaces.|2fast|0https://id.worldcat.org/fast/826389 
650  7 Banach algebras.|2fast|0https://id.worldcat.org/fast/
       826385 
655  4 Electronic books. 
700 1  Dales, H. G.|q(Harold G.),|d1944-|0https://id.loc.gov/
       authorities/names/n82277523 
776 08 |iPrint version:|aAllan, Graham R., -2007.|tIntroduction 
       to Banach spaces and algebras|z9780199206544|w(DLC)  
       2011292228|w(OCoLC)691395481 
830  0 Oxford graduate texts in mathematics ;|0https://id.loc.gov
       /authorities/names/n96121759|v20. 
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=655428|zOnline eBook. Access restricted to 
       current Rider University students, faculty, and staff. 
856 42 |3Instructions for reading/downloading this eBook|uhttp://
       guides.rider.edu/ebooks/ebsco 
901    MARCIVE 20231220 
948    |d20160607|cEBSCO|tebscoebooksacademic|lridw 
994    92|bRID