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A note concerning the ideal of nuclear operators

Published online by Cambridge University Press:  18 May 2009

Bruce A. Barnes
Bruce A. Barnes
Affiliation:
Department of Mathematics, University of Oregon, Eugene, Oregon 97403, U.S.A.
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Abstract

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Let be a Banach algebra of bounded linear operators such that contains every operator with finite dimensional range. Then contains every nuclear operator.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 2 , May 1996 , pp. 233 - 236
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

REFERENCES

1.Arendt, W., On the o–spectrum of regular operators and the spectrum of measures, Math. Z. 178 (1981), 271–278.Google Scholar
2.Palmer, T., Banach algebras and the general theory of *-algebras in Vol.1, Encyclopedia of Math, and its Applications (Cambridge University Press, 1994) 49.Google Scholar
3.Rickart, C., Banach Algebras (D. Van Nostrand Co., 1960).Google Scholar
4.Schatten, R., Norm ideals of completely continuous operators (Springer-Verlag, 1960).Google Scholar