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Commuting k-Tuples of Self Adjoint Operators and Matrix Measures

Published online by Cambridge University Press:  20 November 2018

Patrick J. Browne
Patrick J. Browne*
Affiliation:
Department of Mathematics, Statistics and Computing Science, University of Calgary, Calgary, Alberta, Canada
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In this note we give a generalization of a spectral representation theorem for self adjoint operators in a Hilbert space recently obtained by the author [1]. Our interest here is to develop corresponding results for a k-tuple (T1, …, Tk) of commuting self adjoint operators.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 321 - 326
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Browne, P. J., Self Adjoint Operators and Matrix Measures, Bull. Austral. Math. Soc, 4 (1971), 289-305.Google Scholar
2. Dunford, N. and Schwartz, J. T., Linear Operators, Part II: Spectral Theory. Self Adjoint Operators in Hilbert Space, Interscience, New York, 1963.Google Scholar
3. Prugovečki, E., Quantum Mechanics in Hilbert Space, Academic Press, New York, 1971 Google Scholar