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A Real p-Homogeneous Seminorm with Square Property Is Submultiplicative
Department of Mathematics, Ecole Normale Supérieure, Rabat, Morocco
- 1 Department of Mathematics, Ecole Normale Supérieure, Rabat, Morocco
Advances in Pure Mathematics·Volume 03 (2013)·Pages 660–665·Published 27 November 2013·DOI10.4236/apm.2013.38088
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Abstract
We give a functional representation theorem for a class of real p-Banach algebras. This theorem is used to show that every p-homogeneous seminorm with square property on a real associative algebra is submultiplicative
KeywordsFunctional Representationp-Homogeneous SeminormSquare PropertySubmultiplicative
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