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Spectral Theory for a Class of Nonnormal Operators II

Published online by Cambridge University Press:  20 November 2018

Harry Gonshor
Harry Gonshor*
Affiliation:
Pennsylvania State University
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Extract

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In a previous paper (2) we have developed a spectral theory and a unitary equivalence theory for a certain class of non-normal operators. We dealt primarily with operators which were called J2 operators. At present we are interested in studying the uniformly closed rings generated by such operators.

The notation will be the same as in (2).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 97 - 102
Copyright
Copyright © Canadian Mathematical Society 1958

References

1. Gonshor, H., Spectral theory for a class of non-normal operators, Ph.D. thesis (Harvard, 1953).Google Scholar
2. Gonshor, H., Spectral theory for a class of non-normal operators, Can. J. Math., 8 (1956), 449–461.Google Scholar
3. Kaplansky, I., The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951), 219-233.Google Scholar