Perturbations of flows on Banach spaces and operator algebras

Ola Bratteli; Richard H. Herman; Derek W. Robinson

doi:10.1007/bf01614248

journal article Jun 01, 1978

Perturbations of flows on Banach spaces and operator algebras

Ola Bratteli Richard H. Herman Derek W. Robinson

Communications in Mathematical Physics Vol. 59 No. 2 pp. 167-196 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf01614248

Topics

No keywords indexed for this article. Browse by subject →

References

34

[1]

Araki, H.: Some properties of modular conjugation operator of von Neumann algebras and a noncommutative Radon-Nikodym theorem with a chain rule. Pacific J. Math.50, 309–354 (1974) 10.2140/pjm.1974.50.309

[2]

Araki, H.: On quasi-free states of CAR and Bogoliubov automorphism. Publ. RIMS6, 385–442 (1971/71) 10.2977/prims/1195193913

[3]

Araki, H.: Relative Hamiltonian for faithful normal states of a von Neumann algebra. Publ. RIMS9, 165–209 (1973) 10.2977/prims/1195192744

[4]

Bratteli, O., Robinson, D.W.: Unbounded derivations of von Neumann algebras. Ann. Inst. Henri Poincaré

[5]

Buchholz, D., Roberts, J.E.: Bounded perturbations of dynamics. Commun. math. Phys.49, 161–177 (1976) 10.1007/bf01608739

[6]

Butzer, P.L., Berens, H.: Semi-groups of operators and approximation. Berlin-Heidelberg-New York: Springer 1967 10.1007/978-3-642-46066-1

[7]

Connes, A.: Characterization des espaces vectoriels ordonnés sous-jacents aux algèbres de von Neumann. Ann. Inst. Four.24, 121–155 (1974) 10.5802/aif.534

[8]

Connes, A.: Etats presque periodiques sur une algebra de von Neumann C.R. Acad Sc. (Paris)274, 1402–1405 (1972)

[9]

Effros, E., Hahn, F.: Locally compact transformation groups andC*-algebras. Mem. Am. Math. Soc.75 (1967) 10.1090/memo/0075

[10]

Haagerup, U.: The standard form of von Neumann algebras. Math. Scand. 271–283 (1976) 10.7146/math.scand.a-11606

[11]

Kadison, R.V., Ringrose, J.R.: Derivations and automorphisms of operator algebras. Commun. math. Phys.4, 32–63 (1967) 10.1007/bf01645176

[12]

Leeuw, K. de: On the adjoint semigroup and some problems in the theory of approximation. Math. Z.73, 219–234 (1960) 10.1007/bf01159714

[13]

Powers, R.T.: UHF algebras and their application to representation of the anticommutation relations. In: Cangère lectures in physics, Vol. 4 (ed. D. Kastler), pp. 137–168 (1967)

[14]

The approximation of flows

Derek W Robinson

Journal of Functional Analysis 1977 10.1016/0022-1236(77)90059-3

[15]

Sakai, S.:C*-algebras andW*-algebras. Berlin-Heidelberg-New York: Springer 1974

[16]

Takai, H.: The quasi-orbit space of continuousC*-dynamical systems. Trans. Am. math. Soc.216, 105–113 (1976)

[17]

Takesaki, M.: Tomitas theory of modular Hilbert algebras and its applications. Lecture notes in mathematics, Vol. 128. Berlin-Heidelberg-New York: Springer 1970 10.1007/bfb0065832

[18]

Yosida, K.: Functional analysis, 4ed. Berlin-Heidelberg-New York: Springer 1974 10.1007/978-3-642-96208-0

[19]

Zeller-Meier, G.: Produits croisés d'uneC*-algèbre par une groupe d'automorphismes. J. Math. Pure Appl.47, 101–239 (1968)

[20]

Longo, R.: On perturbed derivations ofC*-algebras. Roma, preprint

[21]

Bratteli, O., Robinson, D.W.: Unbounded derivations ofC*-algebras. II. Commun. math. Phys.46, 11–30 (1976) 10.1007/bf01610496

[22]

Kadison, R.: Derivations of operator algebras. Ann. Math.83, 280–293 (1966) 10.2307/1970433

[23]

Arveson, W.: On groups of automorphisms of operator algebras. J. func. Anal.15, 217–243 (1974) 10.1016/0022-1236(74)90034-2

[24]

Connes, A.: Une classification des facteurs de type III. Ann. Sci. Ec. Norm. Sup.6, 133–252 (1973) 10.24033/asens.1247

[25]

Olesen, D.: On norm-continuity and compactness of spectrum. Math. Scand.35, 223–236 (1974) 10.7146/math.scand.a-11549

[26]

Reynolds, M.: Perturbations of groups of automorphisms of von Neumann algebras. Proc. Am. Math. Soc.55, 326–328 (1976) 10.1090/s0002-9939-1976-0399881-6

[27]

Arveson, W.: An inviation toC*-algebras. Berlin-Heidelberg-New York: Springer 1976 10.1007/978-1-4612-6371-5

[28]

Hansen, F., Olesen, D.: Perturbations of centre-fixing dynamical system. University of Copenhagen, Preprint (1976) 10.7146/math.scand.a-11722

[29]

Kadison, R.V.: Transformations of states in operator theory and dynamics. Topology3, 177–198 (1965) 10.1016/0040-9383(65)90075-3

[30]

Kato, T.: Wave operators and similarity for non self-adjoint operators. Math. Ann.163, 258–279 (1966) 10.1007/bf01360915

[31]

Simon, B.: Quantum mechanics for Hamiltonian defined as quadratic forms. Princeton: University Press 1971

[32]

Bonsall, Duncan: Numerical ranges of operators on normed spaces and elements of normed algebras. Cambridge: University Press

[33]

Woronowicz, S.L.: A remark on the polar decomposition ofm-sectorial operators. ZIF, Preprint

[34]

Fujii, M., Furuta, T., Matsumoto, K.: Equivalence of operator representations of semi-groups. Math. Japonicae20, 253–256 (1975)

Metrics

5

Citations

34

References

Details

Published: Jun 01, 1978
Vol/Issue: 59(2)
Pages: 167-196
License: View

Authors

Cite This Article

Ola Bratteli, Richard H. Herman, Derek W. Robinson (1978). Perturbations of flows on Banach spaces and operator algebras. Communications in Mathematical Physics, 59(2), 167-196. https://doi.org/10.1007/bf01614248

Perturbations of flows on Banach spaces and operator algebras

You May Also Like