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On generalization of decomposability

Published online by Cambridge University Press:  18 May 2009

Ridgley Lange
Ridgley Lange
Affiliation:
Department of Mathematics, University of New Orleans, New Orleans, Louisiana 70122
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Let X be a complex Banach space and let T be a bounded linear operator on X. Then T is decomposable if for every finite open cover of σ(T) there are invariant subspaces Yi(i= 1, 2, …, n) such that

(An invariant subspace Y is spectral maximal [for T] if it contains every invariant subspace Z for which σ(T|Z) ⊂ σ(T|Y).).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 22 , Issue 1 , January 1981 , pp. 77 - 81
Copyright
Copyright © Glasgow Mathematical Journal Trust 1981

References

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