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ArticleOriginal scientific text

Title

C*-seminorms

Authors 1

Affiliations

  1. Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802, U.S.A.

Abstract

A necessary and sufficient condition is given for a*-algebra with identity to have a unique maximal C*-seminorm. This generalizes the result, due to Bonsall, that a Banach *-algebra with identity has such a*-seminorm.

Bibliography

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  2. F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, 1973.
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  4. I. Kaplansky, Topological algebras, Dept. of Math., Univ. of Chicago, 1952 (mimeographed notes).
  5. I. Kaplansky, Topological Algebras, Notas Mat. 16, Rio de Janeiro, 1959.
  6. M. Naimark, Normed Rings, Noordhoff, Groningen, 1960.
  7. V. Pták, Banach algebras with involution, Manuscripta Math. 6 (1972), 245-290.
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  9. B. Yood, Homomorphisms on normed algebras, Pacific J. Math. 8 (1958), 373-381.
  10. B. Yood, Faithful *-representations of normed algebras, ibid. 10 (1960), 345-363.
Studia Mathematica
1996/118/1
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Pages:
19-26
Main language of publication
English
Received
1994-10-07
Accepted
1995-09-20
Published
1996
Exact and natural sciences