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A seminorm with square property on a complex associative algebra is submultiplicative
Author:
Zoltán Sebestyén
Journal:
Proc. Amer. Math. Soc. 130 (2002), 1993-1996
MSC (2000):
Primary 46H05, 46J05
Posted:
December 20, 2001
MathSciNet review:
1896032
Full-text PDF Free Access
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Abstract: The result stated in the title is proved as a consequence of an appropriate generalization replacing the square property of a seminorm with a similar weaker property which implies an equivalence to the supnorm of all continuous functions on a compact Hausdorff space also.
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Additional Information
Zoltán Sebestyén
Affiliation:
Department of Applied Analysis, Loránd Eötvös University, H-1053 Budapest, Kecskeméti u. 10-12, Hungary
Email:
sebesty@cs.elte.hu
DOI:
http://dx.doi.org/10.1090/S0002-9939-01-06278-5
PII:
S 0002-9939(01)06278-5
Keywords:
Seminorm with the square property on an algebra,
submultiplicative seminorm
Received by editor(s):
September 6, 2000
Received by editor(s) in revised form:
January 17, 2001
Posted:
December 20, 2001
Dedicated:
Dedicated to Professor Franek Szafraniec on the occasion of his sixtieth birthday
Communicated by:
N. Tomczak-Jaegermann
Article copyright:
© Copyright 2001 American Mathematical Society
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