Hostname: page-component-7bb8b95d7b-cx56b Total loading time: 0 Render date: 2024-09-25T10:12:26.329Z Has data issue: false hasContentIssue false
  • English
  • Français

A characterisation of closed subalgebras of

Published online by Cambridge University Press:  20 January 2009

P. G. Dixon
P. G. Dixon
Affiliation:
Department of Pure Mathematics, The University, Sheffield, S3 7RH, England
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show that the class of Banach algebras A isomorphic with normclosed (non-self-adjoint) subalgebras of is characterized by the condition that the norms of polynomials in A be dominated by the norms of the same polynomials in .

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 3 , March 1977 , pp. 215 - 217
Copyright
Copyright © Edinburgh Mathematical Society 1977

References

REFERENCES

(1) Bernard, A., Quotients of operator algebras, Seminar on uniform algebras (University of Aberdeen, 1973).Google Scholar
(2) Bonsall, F. F. and Duncan, J., Complete normed algebras (Springer, Berlin, 1973).CrossRefGoogle Scholar
(3) Davie, A. M., Quotient algebras of uniform algebras, J. London Math. Soc. (2), 7 (1973), 31–40.CrossRefGoogle Scholar
(4) Varopoulos, N. TH., Sur une inégalité de von Neumann, C.R. Acad. Sci. Paris 277 (1973), 19–22.Google Scholar