A Real p-Homogeneous Seminorm with Square Property Is Submultiplicative - Advances in Pure Mathematics

APM > Vol.3 No.8, November 2013

A Real p-Homogeneous Seminorm with Square Property Is Submultiplicative ()

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DOI: 10.4236/apm.2013.38088 3,423 Downloads 5,731 Views

Author(s)

Mohammed El Azhari

Affiliation(s)

Department of Mathematics, Ecole Normale Supérieure, Rabat, Morocco.

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

KEYWORDS

Functional Representation; p-Homogeneous Seminorm; Square Property; Submultiplicative

Share and Cite:

M. Azhari, "A Real p-Homogeneous Seminorm with Square Property Is Submultiplicative," Advances in Pure Mathematics, Vol. 3 No. 8, 2013, pp. 660-665. doi: 10.4236/apm.2013.38088.

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