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Операторные алгебры и квантовая статистическая механика - Браттели У.

Браттели У., Робинсон Д. Операторные алгебры и квантовая статистическая механика — Мир, 1982. — 517 c.
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Yosida, K.

Functional Analysis, 2nd ed. Springer-Verlag. Berlin-Heidelberg-New York (1968).
480

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Статьи

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[Аке 2]

[Ala 1] [Ага 1]

[Ага 2]

[Ага 3]

[Ага 4] [Ага 5]

[Ага 6] [Ага 7]

[Ага 8]

Акешапп, С. A., and G. К. Pedersen.

Central sequences and inner derivations of separable C*-algebras, Amer. J. Math, (to appear).

Akemann, С. A.-

The dual space of an operator algebra. Trans. Amer. Math. Soc, 126(1967), 286-302.

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General ergodic theorems, Ann. Math. 41 (1940), 293-309.

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Araki, H.

Some properties of modular conjugation operator of a von Neumann algebra and a non-commutative Radon-Nikodym theorem with a chain rule, Рас. J. Math. 50 (1974), 309-354.

Araki, H.

Introduction to relative Hamiltonian and relative entropy, preprint, Marseille, p. 782 (1975).

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On Clustering property, Rep. Math. Phys. 10 (1976), 275-281.

Araki, H.

On representations of the canonical commutation relations, Commun. Math. Phys. 20(1971), 9-25.

Araki, H., and E. J. Woods,

A classification of factors, Pub. R.I.M.S., Kyoto Univ. 4 (1968), 51-130. Araki, H.

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Araki, H , and E. J. Woods. ,

Representations of the canonical commutation relations describing a non-relativistic infinite free Bose gas, J. Math. Phys. 4 (1963), 637-662.
Статьи

481

[Ага 9]

[Arv 1]

[Bis 1] '

[Bor 1]

[Bor 2]

[Bor 3]

[Bor 4] [Bor 5]

[Bra 1] [Bra 2] [Bra 3] [Bra 4] [Bra 5] [Bra 6]

Araki, H., and W. Wyss.

Representations of canonical anticommutation relations, Helv. Phys. Acta 37(1964), 136-159.

Arveson, W.

On groups of automorphisms of operator algebras, J. Func. Anal. 15(1974), 217-243.

Bishop, E., and K. de Leeuw.

The representation of linear functionals by measures on sets of extreme points, Ann. Inst. Fourier, Grenoble 9 (1959), 305-331.

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On the structure of the algebra of field operators, II Nuovo Cimen'to 24 (1962), 214-236.

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Energy and momentum as observables in quantum field theory, Commun. Math. Phys. 2(1966), 49-54.

Borchers, H. J.

Characterization of inner ‘-automorphisms of H-^-algebras, Pub. R.I.M.S., Kyoto Univ. 10(1974), 11-49.

Borchers, H. J.

Uber Ableitungen von C*-algebren, Nadir. Gottingen Akad. 2 (1973). Borchers, H. J., and J. Yngvason.

On the algebra of field operators. The weak commutant and integral decomposition of states, Commun. Math. Phys. 42 (1975), 231-252. [See also ibid. 43 (1975), 255-271; ibid. 47 (1976), 197-213.]

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Inductive limits of finite-dimensional С ’-algebras, Trans. Amer. Math. Soc. 171 (1972), 195-234.

Bratteli, О

The center of approximately finite-dimensional C*-algebras, J. Func. Anal. 21 (1976), 195-201.

Bratteli, O., and D. W. Robinson.

Unbounded derivations of von Neumann algebras, Ann. Inst. H. Poincare

25 (A) (1976), 139-164.

Bratteli, O., R. H. Herman, and D. W. Robinson.

Perturbations of flows on Banach spaces and operator algebras, Commun. Math. Phys. 59(1978), 167-196.

Bratteli, O., and D. W. Robinson.

Unbounded derivations of C*-algebras, Commun. Math. Phys. 42 (1975), 253-268.

Bratteli, O., and D. W. Robinson.

Unbounded derivations of C*-algebras II, Commun. Math. Phys. 46 (1976), 11-30.
482

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[Bra 7]

[Bra 8]

[Bra 9]

[Bra 10]

[Brail]

[Buc 1]

[Car 1]

[Car 2]

[Che 1]

[Che 2]

[Chi 1] [Cho 1]

[Cho 2]

[Cho 3]

Bratteli, O., R., Herman, and D. W. Robinson.

Quasi-analytic vectors and derivations of operator algebras, Math. Scand. 39(1976), 371-381.

Bratteli, O., and D. W. Robinson.

Unbounded derivations and invariant trace states, Commun. Math. Phys. 46(1976), 31-35.

Bratteli, O., and U. Haagerup,

Unbounded derivations and invariant states, Commun, Math, Phys, 59 (1978), 79-95.

Bratteli, O.

Crossed products of UHF algebras by product type actions, Duke Math, J, 46(1979), 1-23.

Bratteli, O., and A. Kishimoto.

Generation of semi groups and two-dimensional quantum lattice systems, J. Func. Anal, (to appear).

Bucholz, D., and J. E. Roberts.

Bounded perturbations of dynamics, Comm. Math. Phys, 49 (1976), 161-177,

Cartier, P., and J. Dixmier.

Vecteurs aealytiques dans les representations des groupes de Ije, Afflf, /. Math. 80 (1958), 131-145,

Cartier, P., J. M. G. Fell, and P. A. Meyer.

Comparison des mesures portees par un ensemble convex compact, Bull, Soc. Math. France 92 (1964), 435-445,
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