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.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Editura Universităţii "Petru Maior"
2009-12-01
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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 |
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. |
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ISSN: | 1841-9267 2285-438X |