Open Access
2004 SPECTRAL DISTRIBUTIONS AND GELFAND'S THEOREM
M. Fakhri, M. Jazar
Taiwanese J. Math. 8(2): 327-336 (2004). DOI: 10.11650/twjm/1500407630

Abstract

This paper highlights a new short proof of a generalization of Gelfand's theorem through the use of spectral distributions. But above all it aims at studying, when the spectrum is discrete, if the operator admits a spectral resolution of the identity.

Citation

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M. Fakhri. M. Jazar. "SPECTRAL DISTRIBUTIONS AND GELFAND'S THEOREM." Taiwanese J. Math. 8 (2) 327 - 336, 2004. https://doi.org/10.11650/twjm/1500407630

Information

Published: 2004
First available in Project Euclid: 18 July 2017

zbMATH: 1074.47008
MathSciNet: MR2061696
Digital Object Identifier: 10.11650/twjm/1500407630

Subjects:
Primary: 47A10 , 47A10 , 47A60 , 47D03 , 47D06 , 47D62

Keywords: functional calculus , Gelfand's theorem , groups of linear operators , spectral decomposition

Rights: Copyright © 2004 The Mathematical Society of the Republic of China

Vol.8 • No. 2 • 2004
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