دانلود کتاب Operator algebras in dynamical systems

عنوان فارسی :

دانلود کتاب جبرهای عملگر در سیستم های دینامیکی

عنوان انگلیسی :

Operator algebras in dynamical systems

زبان : English

موضوع : Mathematics->Dynamical Systems

نویسندگان : Shtichirt Sakai

ناشر : CUP

ISBN (شابک) : 9780521060219, 0521060214

تعداد صفحات : 232\232

سال نشر : 1991     ویرایش :

حجم : 1 MB       فرمت : djvu

قیمت : 20000 تومان

فهرست :



Table of contents :
Cover......Page 1
About......Page 2
Encyclopedia of Mathematics and its Applications 41......Page 4
Operator Algebras in Dynamical Systems: The theory of unbounded derivations in C*-algebras......Page 6
Goto 6 /FitH 555521400961......Page 7
Contents......Page 8
Preface......Page 10
1.1 Banach algebras, C*-algebras and W*-algebras......Page 14
1.5 Positive linear functionals and states......Page 15
1.7 Concrete C*- and W*-algebras......Page 16
1.11 Gelfand-Naimark-Segal representations......Page 18
1.12 Factorial and pure states......Page 19
1.15 Perturbation expansion theorem (t in mathbb{R})......Page 20
1.16 Corollary (the complex version)......Page 22
1.17 Theorem (convergence on geometric vectors)......Page 24
1.18 Proposition (the restricted C*-system)......Page 27
2 Bounded derivations......Page 29
2.2 The commutation relation ab - ba= 1......Page 30
2.3 Continuity of everywhere-defined derivations......Page 35
2.4 Quantum field-theoretic observations (some unbounded derivations)......Page 37
2.5 Application to bounded derivations......Page 47
2.6 Uniformly continuous dynamical systems......Page 54
2.7 C*-dynamical systems and ground states......Page 61
3 Unbounded derivations......Page 68
3.1 Definition of derivations......Page 69
3.2 Closability of derivations......Page 71
3.3 The domain of closed *-derivations......Page 78
3.4 Generators......Page 85
3.5 Unbounded derivations in commutative C*-algebras......Page 92
3.6 Transformation groups and unbounded derivations......Page 107
4.1 Approximately inner C*-dynamics......Page 114
4.2 Ground states......Page 120
4.3 KMS states......Page 127
4.4 Bounded perturbations......Page 143
4.5 UHF algebras and normal *-derivations......Page 168
4.6 Commutative normal *-derivations in UHF algebras......Page 181
4.7 Phase transitions......Page 188
4.8 Continuous quantum systems......Page 196
References......Page 220
Index......Page 230


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