عنوان

Real operator algebras /

شابک

1281935611

شابک

9781281935618

شابک

9789812795182

شابک

9812795189

شابک اشتباه

9789812383808

شابک اشتباه

9812383808

شماره

b797448

عنوان اصلي

Real operator algebras /

نام عام مواد

[Book]

نام نخستين پديدآور

Bingren Li.

محل نشرو پخش و غیره

River Edge, N.J. :

نام ناشر، پخش کننده و غيره

World Scientific,

تاریخ نشرو بخش و غیره

©2003.

نام خاص و کميت اثر

1 online resource (xiii, 241 pages)

متن يادداشت

Includes bibliographical references (pages 233-235) and indexes.

متن يادداشت

1. Real Banach and Hilbert spaces. 1.1. Complexification of real Banach and Hilbert spaces. 1.2. Spectral decomposition theorem in real Hilbert spaces -- 2. Real Banach algebras. 2.1. Definition and complexification. 2.2. Divisible real Banach algebras. 2.3. The topological group of invertible elements and its principal component. 2.4. Radical. 2.5. Functional calculus. 2.6. Arens products. 2.7. Abelian real Banach algebras -- 3. Real Banach * algebras. 3.1. Some basic lemmas. 3.2. Abelian real Banach * algebras. 3.3. Positive linear functionals and GNS construction. 3.4. * Representations and topologically irreducible * representations. 3.5. * Radical. 3.6. Symmetric real Banach * algebras -- 4. Fundamentals of real Von Neumann algebras. 4.1. Banach spaces of operators on a real Hilbert space. 4.2. Locally convex topologies in B(H). 4.3. Von Neumann's double commutation theorem. 4.4. Kaplansky's density theorem, tensor product commutation theorem, and comparison of projections. 4.5. Positive linear functionals. 4.6. [symbol]-finite real VN algebras -- 5. Fundamentals of real C*-algebras. 5.1. Definition and basic properties. 5.2. Positive functionals and equivalent definition of real C*-algebras. 5.3. Pure real states, their left kernels, and irreducible * representations. 5.4. Ideals, quotient algebras and extreme points. 5.5. The bidual of a real C*-algebra. 5.6. The uniqueness of * operation. 5.7. Finite-dimensional real C*-algebras. 5.8. The enveloping real C*-algebra of a hermitian real Banach * algebra. 5.9. * Representations of abelian real C*-algebras -- 6. Real W*-algebras. 6.1. Definition and basic properties. 6.2. Normal linear functionals and singular linear functionals. 6.3. Abelian real W*-algebras. 6.4. Unitaries and partial isometries -- 7. Gelfand-Naimark conjecture in the real case. 7.1. Real C*-equivalent algebras. 7.2. The closed unit ball of a unital real C*-algebra. 7.3. Gelfand-Naimark conjecture in the real case -- 8. Classification of real W*-algebras. 8.1. Classification of real W*-algebras. 8.2. Finite real W*-algebras. 8.3. Properly infinite real W*-algebras. 8.4. Semi-finite real W*-algebras. 8.5. Purely infinite (type III) real W*-algebras. 8.6. Properties on other classes of real W*-algebras. 8.7. Real factors and tensor products -- 9. Real reduction theory. 9.1. Real measurable fields of Hilbert spaces. 9.2. Real measurable fields of operators. 9.3. Real measurable fields of VN algebras. 9.4. Real reduction theory -- 10. (AF) real C*-algebras. 10.1. Standard matrix unit. 10.2. Technical lemmas. 10.3. Definition and basic properties.

بدون عنوان

0

متن يادداشت

The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real numbers has seemed not to be introduced systematically and sufficiently. The aim of this text is to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras.

عنوان

Real operator algebras.

شماره استاندارد بين المللي کتاب و موسيقي

9812383808

موضوع مستند نشده

Banach algebras.

موضوع مستند نشده

Operator algebras.

موضوع مستند نشده

Algèbres d'opérateurs.

موضوع مستند نشده

Algèbres normées.

موضوع مستند نشده

Banach, Algèbres de.

موضوع مستند نشده

Banach algebras.

موضوع مستند نشده

MATHEMATICS-- Algebra-- Linear.

موضوع مستند نشده

Operator algebras.

موضوع مستند نشده

Operatoralgebra

موضوع مستند نشده

MAT-- 002050

موضوع مستند نشده

PBKB

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

کد سيستم

مستند نام اشخاص تاييد نشده

Li, Bingren,1941-

مستند نام اشخاص تاييد نشده

Li, Bingren,1941-

تاريخ عمليات

20201207101053.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y