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Spectral subspaces of operator-valued functions

Published online by Cambridge University Press:  17 April 2009

Matjaž Omladič
Matjaž Omladič
Affiliation:
Department of Mathematics, E.K. University of Ljubljana, Jadranska 19, 61000 Ljubljana, Yugoslavia.
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Abstract

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We give a generalization of the notion of spectral maximal sub-spaces, for which some of the main results are still valid. We give an application of this theory on a class of operators, defined on some reflexive Banach space.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 1 , February 1985 , pp. 61 - 73
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Kantorovitz, Sh., Special theory of Banach space operators (Lecture Notes in Mathematics, 1012. Springer-Verlag, Berlin, Heidelberg, New York, 1983).CrossRefGoogle Scholar
[2]Lumer, G. and Rosenblum, M., “Linear operator equations”, Proc. Amer. Math. Soc. 10 (1959), 32–41.Google Scholar