000 | 05970cam a2200517 i 4500 | ||
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001 | on1048402845 | ||
003 | OCoLC | ||
005 | 20250612155504.0 | ||
006 | m o d | ||
007 | cr cnu|||unuuu | ||
008 | 180813s2018 enk ob 001 0 eng d | ||
040 |
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_a019020927 _2Uk |
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020 |
_a9780128141236 _q(electronic bk.) |
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020 |
_a0128141239 _q(electronic bk.) |
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020 | _z9780128141229 | ||
020 | _z0128141220 | ||
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_a(OCoLC)1048402845 _z(OCoLC)1048933748 _z(OCoLC)1105190626 _z(OCoLC)1105567297 _z(OCoLC)1259584517 |
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050 | 4 | _aQA326 | |
072 | 7 |
_aMAT _x002040 _2bisacsh |
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082 | 0 | 4 |
_a512/.556 _223 |
100 | 1 |
_aPedersen, Gert Kjaerg�ard, _eauthor. _934204 |
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245 | 1 | 0 |
_aC*-algebras and their automorphism groups / _cGert K. Pedersen ; edited by S�ren Eilers, Dorte Olesen. |
250 | _aSecond edition. | ||
264 | 1 |
_aLondon, United Kingdom : _bAcademic Press, an imprint of Elsevier, _c[2018] |
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264 | 4 | _c�2018 | |
300 | _a1 online resource | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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588 | _aOnline resource; title from PDF title page (EBSCO, viewed August 14, 2018). | ||
504 | _aIncludes bibliographical references and index. | ||
505 | 0 | _aIntro; C*-Algebras and Their Automorphism Groups; Contents; Biography; Gert Kj�rg�ard Pedersen (1940-2004); Author's Preface; Editors' Preface; 1 Abstract C*-Algebras; 1.1 Spectral Theory; 1.1.1; 1.1.2; 1.1.3 Proposition; 1.1.4; 1.1.5 Lemma; 1.1.6; 1.1.7 Theorem; 1.1.8 Proposition; 1.1.9; 1.1.10; 1.1.11; 1.1.12 Proposition; 1.1.13; 1.1.14 Author's notes and remarks; 1.1.15 Editors' notes and remarks; 1.2 Examples; 1.2.1; 1.2.2; 1.2.3; 1.2.4; 1.2.5; 1.2.6 Author's notes and remarks; 1.2.7 Editors' notes and remarks; 1.2.8; 1.2.9; 1.3 Positive Elements and Order; 1.3.1 Lemma; 1.3.2. | |
505 | 8 | _a1.3.3 Theorem1.3.4; 1.3.5 Proposition; 1.3.6 Proposition; 1.3.7; 1.3.8 Proposition; 1.3.9 Proposition; 1.3.10; 1.3.11 Proposition; 1.3.12 Author's notes and remarks; 1.3.13 Editors' notes and remarks; 1.3.14 Lemma; 1.3.15 Theorem; 1.4 Approximate Units and Factorization Theorems; 1.4.1; 1.4.2 Theorem; 1.4.3; 1.4.4 Lemma; 1.4.5 Proposition; 1.4.6; 1.4.7 Proposition; 1.4.8 Proposition; 1.4.9; 1.4.10 Proposition; 1.4.11 Author's notes and remarks; 1.4.12 Editors' notes and remarks; 1.5 Hereditary Algebras, Ideals, and Quotients; 1.5.1; 1.5.2 Theorem; 1.5.3 Corollary; 1.5.4 Lemma; 1.5.5 Corollary. | |
505 | 8 | _a1.5.61.5.7 Theorem; 1.5.8 Corollary; 1.5.9 Proposition; 1.5.10 Proposition; 1.5.11 Corollary; 1.5.12 Author's notes and remarks; 1.5.13 Editors' notes and remarks; 1.5.14 Lemma; 1.5.15 Editors' notes and remarks; 1.5.16; 2 Concrete C*-Algebras; 2.1 Topologies on B(H); 2.1.1; 2.1.2; 2.1.3 Lemma; 2.1.4; 2.1.5 Theorem; 2.1.6 Corollary; 2.1.7 Author's notes and remarks; 2.2 von Neumann's Bicommutant Theorem; 2.2.1; 2.2.2 Theorem; 2.2.3 Lemma; 2.2.4; 2.2.5 Corollary; 2.2.6; 2.2.7; 2.2.8; 2.2.9 Proposition; 2.2.10; 2.2.11 Author's notes and remarks; 2.3 Kaplansky's Density Theorem; 2.3.1. | |
505 | 8 | _a2.3.2 Proposition2.3.3 Theorem; 2.3.4 Author's notes and remarks; 2.4 The Up-Down Theorem; 2.4.1; 2.4.2 Lemma; 2.4.3 Theorem; 2.4.4 Theorem; 2.4.5 Author's notes and remarks; 2.5 Normal Morphisms and Ideals; 2.5.1; 2.5.2 Proposition; 2.5.4 Proposition; 2.5.3 Theorem; 2.5.5 Corollary; 2.5.6 Author's notes and remarks; 2.5.7 Editors' notes and remarks; 2.6 The Central Cover; 2.6.1; 2.6.2; 2.6.3 Lemma; 2.6.4 Lemma; 2.6.5 Lemma; 2.6.6 Lemma; 2.6.7 Proposition; 2.6.8 Corollary; 2.6.9 Author's notes and remarks; 2.7 A Generalization of Lusin's Theorem; 2.7.1; 2.7.2 Lemma; 2.7.3 Theorem. | |
505 | 8 | _a2.7.4 Corollary2.7.5 Theorem; 2.7.6 Author's notes and remarks; 2.7.7 Editors' notes and remarks; 2.8 Maximal Commutative Subalgebras; 2.8.1; 2.8.2; 2.8.3 Proposition; 2.8.4 Theorem; 2.8.5 Lemma; 2.8.6 Lemma; 2.8.7; 2.8.8 Corollary; 2.8.9 Author's notes and remarks; 2.8.10 Editors' notes and remarks; 2.9 Universal C*-Algebras; 2.9.1 Editors' notes and remarks; 2.9.2; 2.9.3 Theorem; 2.9.4; 2.9.5; 2.9.6; 3 Functionals and Representations; 3.1 Positive Functionals; 3.1.1; 3.1.2; 3.1.3 Theorem; 3.1.4 Proposition; 3.1.5 Lemma; 3.1.6 Proposition; 3.1.7 Author's notes and remarks. | |
520 | _aThis elegantly edited landmark edition of Gert Kj�i�A�rg�i�A�rd Pedersen's C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen's monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of S�i�A�ren Eilers and Dorte Olesen, the second edition modernizes Pedersen's work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author's later work. | ||
650 | 0 |
_aC*-algebras. _934205 |
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650 | 0 |
_aAutomorphisms. _934206 |
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700 | 1 |
_aEilers, S�ren, _eeditor. _934207 |
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700 | 1 |
_aOlesen, Dorte, _eeditor. _934208 |
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776 | 0 | 8 |
_iPrint version: _aPedersen, Gert Kjaerg�ard. _tC*-algebras and their automorphism groups. _bSecond edition. _d�2018 _z0128141220 _z9780128141229 _w(OCoLC)1004362506 |
856 | 4 | 0 |
_3ScienceDirect _uhttps://www.sciencedirect.com/science/book/9780128141229 |
999 |
_c216480 _d216480 |