Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A note on commutativity of unbounded representations

Author: Schōichi Ōta
Journal: Proc. Amer. Math. Soc. 118 (1993), 489-493
MSC: Primary 46K10; Secondary 47B25, 47D40
MathSciNet review: 1123664
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Commutativity for unbounded representations is studied in terms of the Cayley transform.

References [Enhancements On Off] (What's this?)

  • [1] Atsushi Inoue, Hideki Kurose, and Schōichi Ōta, Extensions of unbounded representations, Math. Nachr. 155 (1992), 257–268. MR 1231268,
  • [2] Palle E. T. Jorgensen, Operators and representation theory, North-Holland Mathematics Studies, vol. 147, North-Holland Publishing Co., Amsterdam, 1988. Canonical models for algebras of operators arising in quantum mechanics; Notas de Matemática [Mathematical Notes], 120. MR 919948
  • [3] Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator algebras. Vol. I, Pure and Applied Mathematics, vol. 100, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. Elementary theory. MR 719020
  • [4] G. Lassner, Topological algebras of operators, Rep. Mathematical Phys. 3 (1972), no. 4, 279–293. MR 0322527
  • [5] S. Ôta, Commutativity of unbounded representations, preprint, 1991.
  • [6] Robert T. Powers, Self-adjoint algebras of unbounded operators, Comm. Math. Phys. 21 (1971), 85–124. MR 0283580
  • [7] K. Schmüdgen, Unbounded operator algebras and representation theory, Akademie-Verlag, Berlin, 1988.
  • [8] Joachim Weidmann, Linear operators in Hilbert spaces, Graduate Texts in Mathematics, vol. 68, Springer-Verlag, New York-Berlin, 1980. Translated from the German by Joseph Szücs. MR 566954

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46K10, 47B25, 47D40

Retrieve articles in all journals with MSC: 46K10, 47B25, 47D40

Additional Information

Keywords: Unbounded representation, strong commutativity, Cayley transformation, extension
Article copyright: © Copyright 1993 American Mathematical Society

American Mathematical Society