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| Jajte R. — Strong Limit Theorems in Noncommutative L2-Spaces |
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| Предметный указатель |
Algebra of von Neumann 1
Almost orthogonal operators 41
Conditional expectation 4 23 53 85 88
Conditional expectation of Accardi — Cecchini 91
Contraction, generated by a kernel 4 10 17 52
Contraction, normal 38
Contraction, positive definite 52
Convergence of conditional expectations 86
Convergence of martingales 34 86
Convergence, almost sure 2
Convergence, almost uniform 2
Convergence, strong 2
Convergence, uniform 3
Dual map 4
Dynamical semigroup 22 23
Endomorphism 4 31 32
Ergodic Hilbert transform 47 49
Filtration 86 88
Invariant state 13
Invariant vector 20
Kernel 4 10 17
Local ergodic theorem 10 22 28
Map,  -contractive 4
Map, positive 4
Map, Schwarz 4
Martingale 88
Maximal ergodic theorem 11 14 58
Mean ergodic theorem 18 46 57 91
Modular automorphism 19
Modular conjugation 91
Modular operator 19
Operator, modular 19
Operator, normal 38
Operator, unitary 37 46 47 49
| Orthogonal projection 53 86 88
Orthogonal sequence 64 68 74 78
orthogonal series 64
Positive cone 91 92
Positive contraction 91
Positive map 4
Random Ergodic Theorem 31
Schwarz map 4
Semigroup of contractions 22 23
Semigroup of Schwarz maps 21
Semigroup, quantum dynamical 22 23
Semigroup, weak * conditions 25
Sequence of iterates 52
Sequence, orthogonal 64 68 74 75 78
Sequence, quasi-orthogonal 69 77 84
Sequence, weakly stationary 62
Shift transformation 33
Spectral measure 37 53
Spectral representation 38 46 53
Spectrum 37
Strong Law of Large Numbers 64 78
Tensor product, algebra 31
Tensor product, state 31
Theorem of Akcoglu 91
Theorem of Burkholder and Chow 53
Theorem of Goldstein 11 86
Theorem of Rademacher — Menshov 64 68 69
Theorem of Stein 52 92
Theorem of von Neumann 53
Transformation, preserving measure 31
Transformation, ultraweakly measurable 32
Transformation, weakly measurable 32
Vector, cyclic 1
Vector, separating 1
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