Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-26T07:28:13.471Z Has data issue: false hasContentIssue false
  • English
  • Français

Spectra of derivations

Published online by Cambridge University Press:  24 October 2008

J. Kyle
J. Kyle
Affiliation:
Department of Mathematics, University of Technology, Loughborough, Leicestershire, England
Get access Rights & Permissions [Opens in a new window]

Extract

This paper follows (4) in a quantitative study of derivations. The object is to investigate the properties of the spectrum of an inner derivation. In particular, we shall be interested in obtaining a general description of the spectrum of a derivation on a W*-algebra.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 1 , July 1977 , pp. 49 - 57
Copyright
Copyright © Cambridge Philosophical Society 1977

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Dunford, N. and Schwarz, J. T.Linear operators, part I. (New York, Interscience, 1958).Google Scholar
(2)Glimm, J. G.A Stone–Weierstrass theorem for C*-algebras. Ann of Math. 72 (1960), 216–244.CrossRefGoogle Scholar
(3)Halpern, H.Irreducible module homomorphisms of a von Neumann algebra into its centre. Trans. Amer. Math. Soc. 140 (1969), 195–221.CrossRefGoogle Scholar
(4)Kyle, J.Norms of derivations. (To appear in J. London Math. Soc.)Google Scholar
(5)Kyle, J. Norma, spectra and numerical ranges of derivations. Ph.D. thesis, University of Newcastle upon Tyne, 1976.Google Scholar
(6)Rosemblum, M. and Lumer, G.Linear operator equations. Proc. Amer. Math. Soc. 10 (1959), 32–41.Google Scholar
(7)Takeda, Z.Conjugate spaces of operator algebras. Proc. Japan. Acad. 28 (1954), 90–95.Google Scholar
(8)Zsido, L. and Stratilla, S.An algebraic reduction theory for W*-algebras: II. Rev. Roumaine Math. Pures. Appl. 18 (1973), 407–460.Google Scholar