Expansion of the notions of normed algebras to locally multiplicatively convex algebras

We generalize many of the theories of numerical range for the normed algebras to a theory of locally m-convex algebras. We will establish relations approximation between numerical range and spectrum of the element from locally m-convex unitary complete algebra.

Bibliographic Details
Main Authors: Diana Mărginean, Nicola Oprea
Format: Article
Language:English
Published: Editura Universităţii "Petru Maior" 2009-12-01
Series:Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș
Subjects:
Online Access:http://scientificbulletin.upm.ro/papers/2009/10/Expansion-of-the-notions-of-normed-algebras-to-locally-multiplicatively-convex-algebras.pdf
Description
Summary:We generalize many of the theories of numerical range for the normed algebras to a theory of locally m-convex algebras. We will establish relations approximation between numerical range and spectrum of the element from locally m-convex unitary complete algebra.
ISSN:1841-9267
2285-438X