A real p-homogeneous seminorm with square property is submultiplicative

A real p-homogeneous seminorm with square property is submultiplicative

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.

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Veröffentlicht in:arXiv.org 2013-11
1. Verfasser: Azhari, M. El
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
Theorems
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1301.2000