MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Spectral states of commutative l.m.c. algebras
A. K. Gaur

Abstract

We characterize the commutative locally multiplicative convex (l.m.c.) algebras in terms of the spectral states. We also give a characterization of spectral states in terms of commutative semisimple l.m.c. algebras. Further, with the help of radicals of l.m.c. algebras we give a necessary and a sufficient condition for an algebra to be commutative modulo its radical.

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Keywords: Spectral states, probability measure, l.m.c. algebra, commutative modulo.

MSC: 46J99, 46J15, 46K99

Pages:  15--19     

Volume  55 ,  Issue  1$-$2 ,  2003