Spectral states of commutative l.m.c. algebras

Authors

  • A. K. Gaur Department of Mathematics and Computer Science, Duquesne University, Pittsburgh, PA 15282, U.S.A. Author

Keywords:

Spectral states, probability measure, lmc algebra, commutative modulo

Subjects:

46J99, 46J15, 46K99

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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Published

2003-04-15

Issue

Vol. 55 No. 1–2 (2003): Vol. 55, Issue 1–2

Section

Articles

License

Copyright (c) 2003 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.