Takesaki M. — Theory of Operator Algebras I :: Электронная библиотека попечительского совета мехмата МГУ

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Takesaki M. — Theory of Operator Algebras I

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Название: Theory of Operator Algebras I

Автор: Takesaki M.

Аннотация:

The unifying theme is the Banach space duality for operator algebras, allowing readers to recognize the affinity between operator algebras and measure theory on locally compact spaces.

Язык:

Рубрика: Математика/Анализ/Функциональный анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 415

Добавлена в каталог: 16.04.2005

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Предметный указатель

Right invariant subsets      123
Right invariant subspaces      123
Right kernel of $\omega$       37
Right multiplier of A      169
Right support of x      291
Right support projections      140
Self-adjoint elements      17
Self-adjoint linear functionals      36
Semifinite traces on a von Neumann algebra      309
Semifinite von Neumann algebras      297
Semiregular subalgebras      373
Semisimple Banach algebras      16
Separating subsets      77
Sesquilinear forms      59
Sesquilinear forms, hermitian      59
Sesquilinear forms, positive      59
Sesquilinear forms, symmetric      59
Simplices      251
Sine of a projection      308
Singular functionals      127
Singular part of co      127
Souslin sets      377
Souslin spaces      377
Spatial isomorphisms      72
Spatially isomorphic von Neumann algebras      72
Spectral mapping theorem      11
Spectral radius of x      7
Spectrum of A      16
Spectrum of x      6
Standard Borel spaces      264
State spaces      166
States      36
States, ergodic      47
States, factorial      248
States, primary      248
States, tracial      343
Stone — Cech compactification of T      21
Stonean spaces      104
Strictly convex functions      235
Strong (operator) topology      68
Strong* (operator) topology      68
Subrepresentations      41
Support of a left invariant subspace      124
Support of a positive linear functional      140
Support of a representation      126
Support of a trace      315
Support projections of      134
Support projections of left invariant subspaces      124
Support projections of representations      126
Symmetric sesquilinear forms      59
Tensor product representation      222
Tensor products of Banach spaces      188
Tensor products of C*-algebras      203
Tensor products of Hilbert spaces      182
Tensor products of operators      182
Tensor products of von Neumann algebras      183
Tensor products of W*-algebras      220

Thick ideals      169
Topological transformation groups      6
Topologically irreducible representations      41
Traces on a von Neumann algebra      309
Traces on a von Neumann algebra, faithful      309
Traces on a von Neumann algebra, finite      309
Traces on a von Neumann algebra, normal      309
Traces on a von Neumann algebra, semifinite      309
Tracial positive linear functionals      343
Transitivity theorem      92
Type $\mathrm{II}_1$ von Neumann algebras      296
Type $\mathrm{II}_\infty$ von Neumann algebras      296
Type $\mathrm{I}_n$ von Neumann algebras      302
Type $\mathrm{I}_\alpha$ von Neumann algebras      302
Type I von Neumann algebras      296
Type II von Neumann algebras      296
Type III von Neumann algebras      296
Uniform (operator) topology      68
Unital Banach algebras      3
Unitarily equivalent representations      36
Unitary elements      17
Unitary group of A      17
Unitary implementation of an action      371
Unitary involutions      337
Universal atomic representation of a C*-algebra      176
Universal enveloping von Neumann algebra of A      122
Universal representations      122
Universally measurable elements      173
Upper envelope of f      232
Upper semicontinuous regularization of f      106
Up—down theorem      96
Up—down—up theorem      97
Von Neumann algebras      72
von Neumann algebras, $\sigma$ -finite      78
von Neumann algebras, (left) group von Neumann algebra of G      364
von Neumann algebras, atomic      155
von Neumann algebras, covariance von Neumann algebra of $(\mathcal A, G, \alpha)$       364
von Neumann algebras, finite      296
von Neumann algebras, infinite      296
von Neumann algebras, isomorphic      72
von Neumann algebras, maximal abelian      104
von Neumann algebras, of finite rank      155
von Neumann algebras, properly infinite      296
von Neumann algebras, purely infinite      296
von Neumann algebras, semifmite      297
von Neumann algebras, spatially isomorphic      72
von Neumann algebras, type $\mathrm{III}$       296
von Neumann algebras, type $\mathrm{II}$       296
von Neumann algebras, type $\mathrm{II}_1$       296
von Neumann algebras, type $\mathrm{II}_\infty$       296
von Neumann algebras, type $\mathrm{I}$       296
von Neumann algebras, type $\mathrm{I}_n$       302
von Neumann algebras, type $\mathrm{I}_\alpha$       302
W*-algebras      130
W*-tensor products      221
Weak (operator) topology      68
Weakly compact C*-algebras      157

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