A seminorm with square property on a complex associative algebra is submultiplicative
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- by Zoltán Sebestyén PDF
- Proc. Amer. Math. Soc. 130 (2002), 1993-1996 Request permission
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.References
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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
- Received by editor(s): September 6, 2000
- Received by editor(s) in revised form: January 17, 2001
- Published electronically: December 20, 2001
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1993-1996
- MSC (2000): Primary 46H05, 46J05
- DOI: https://doi.org/10.1090/S0002-9939-01-06278-5
- MathSciNet review: 1896032
Dedicated: Dedicated to Professor Franek Szafraniec on the occasion of his sixtieth birthday