Proceedings of the American Mathematical Society

A seminorm with square property on a complex associative algebra is submultiplicative

Author(s): Zoltán Sebestyén
Journal: Proc. Amer. Math. Soc. 130 (2002), 1993-1996.
MSC (2000): Primary 46H05, 46J05
Posted: December 20, 2001
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46H05, 46J05

Zoltán Sebestyén
Affiliation: Department of Applied Analysis, Loránd Eötvös University, H-1053 Budapest, Kecskeméti u. 10-12, Hungary
Email: sebesty@cs.elte.hu

DOI: 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
Copyright of article: Copyright 2001, American Mathematical Society

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