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On Reflexive Compact Operators

Published online by Cambridge University Press:  20 November 2018

Avraham Feintuch
Avraham Feintuch*
Affiliation:
Ben Gurion University, Beersheva, Israel
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Abstract

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Let A be a compact operator on a separable Hilbert space . The aim of this paper is to investigate the relationship between the weak closure of the algebra of polynomials in A (denoted by U(A)) and its invariant subspace lattice Lat A.

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 3 , 01 June 1977, pp. 460 - 465
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Feintuch, A., On commutants of compact operators, Duke Math. J. 41 (1974), 387–391.Google Scholar
2. Feintuch, A. Erratum, On commutants of compact operators, Duke Math. J. 1+3 (1976), 215.Google Scholar
3. Feintuch, A. Algebras generated by invertible operators, Proc. Amer. Math. Soc. to appear.Google Scholar
4. Gohberg, I. C. and Krein, M. G., Introduction to the theory of linear non-self-adjoint operators, Trans. Math. Mono. 18 (Providence, A.M.S. 1969).Google Scholar
5. Markus, A. S., The problem of spectral synthesis for operators with point spectrum, Math. USSR-Izvestija 4 (1970), 670–696.Google Scholar
6. Leggett, R., On the invariant subspace structure of compact dissipative operators, Indiana Math. J. 22 (1973), 919–928.Google Scholar