Closed discs, half planes and spectral states in l.m.c. algebras

A. K. Gaur

doi:10.15352/afa/06-1-17

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Home > Journals > Ann. Funct. Anal. > Volume 6 > Issue 1 > Article

2015 Closed discs, half planes and spectral states in l.m.c. algebras

A. K. Gaur

Ann. Funct. Anal. 6(1): 227-234 (2015). DOI: 10.15352/afa/06-1-17

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Abstract

In this note we express the localized numerical range of elements in locally multiplicative convex (l.m.c.) algebras as the intersection of closed discs. We characterize the spectral states on l.m.c. algebras in terms of their radicals.

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A. K. Gaur. "Closed discs, half planes and spectral states in l.m.c. algebras." Ann. Funct. Anal. 6 (1) 227 - 234, 2015. https://doi.org/10.15352/afa/06-1-17