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B*-algebra eigenfunction expansions

Published online by Cambridge University Press:  14 November 2011

Manuel Lopez
Manuel Lopez
Affiliation:
Departamento de Matematicas, Universidad de Murcia, Murcia, Spain
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Synopsis

In this paper the Sturm-Liouville regular boundary value problem and expansion theorem is extended to functions with values in some B*-algebras.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 3-4 , 1980 , pp. 307 - 314
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

1Akhiezer, N. I., and Glazman, I. M.. Theory of Linear Operators in Hilbert Space, vol. 1. (New York: Ungar, 1961).Google Scholar
2Hille, E. and Phillips, R. S.. Functional Analysis and Semi-groups. AMS Colloquium Series, vol. 31 (Providence, R. I.: AMS: 1957).Google Scholar
3Hille, E.. Lectures on Differential Equations (Reading, Mass.: Addison Wesley, 1969).Google Scholar