Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-26T02:06:12.062Z Has data issue: false hasContentIssue false

Quasispectral subspaces of quasinilpotent operators

Published online by Cambridge University Press:  14 November 2011

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

Synopsis

We give a definition of “quasispectral maximalč subspaces for a quasinilpotent, but not nilpotent, bounded Banach space operator. The definition applies to a class of operators, close to the Volterra operator.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Colojoara, I. and Foias, C.. Theory of generalized spectral operators (New York: Gordon and Breach, 1968).Google Scholar
2Erdelyi, I. and Lange, R.. Spectral decompositions in Banach spaces. Lecture Notes in Mathematics 623 (Berlin: Springer, 1977).Google Scholar
3SKantorovitz, h.. Spectral theory of Banach space operators. Lecture Notes in Mathematics 1012 (Berlin: Springer, 1983).Google Scholar