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A Joint spectral theorem for unbounded normal opertors

Part of: Special classes of linear operators Selfadjoint operator algebras General theory of linear operators

Published online by Cambridge University Press:  09 April 2009

A. B. Patel
A. B. Patel
Affiliation:
Department of Mathematics Sardar Patel UniversityVallabh Vidyanagar-388120, India
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Abstract

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A joint spectral theorem for an n-tuple of doubly commuting unbounded normal operators in a Hilbert space is proved by using the techniques of GB*-algebras.

MSC classification

Secondary: 47A10: Spectrum, resolvent 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.) 46L99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 2 , April 1983 , pp. 203 - 213
Copyright
Copyright © Australian Mathematical Society 1983

References

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