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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On generalized Weyl operators


Author: Dragan S. Djordjevic
Journal: Proc. Amer. Math. Soc. 130 (2002), 81-84
MSC (2000): Primary 47A53, 47A55
Published electronically: April 26, 2001
MathSciNet review: 1855623
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Abstract:

The ``generalized Weyl'' operators between two Hilbert spaces are taken to be those with closed range for which the null space and that of the adjoint are of equal Hilbert space dimension. We show that products of two of these which happen to have closed range, and finite rank perturbation of these, are also generalized Weyl.


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Additional Information

Dragan S. Djordjevic
Affiliation: Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, Ćirila i Metodija 2 18000 Niš, Yugoslavia
Email: dragan@pmf.pmf.ni.ac.yu, ganedj@eunet.yu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06081-6
PII: S 0002-9939(01)06081-6
Keywords: Generalized Weyl operators, products of generalized Weyl operators, perturbations
Received by editor(s): May 17, 2000
Published electronically: April 26, 2001
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2001 American Mathematical Society