Invariant Subspaces of Collectively Compact Sets of Linear Operators

Author: Alpay Şafak  

Publisher: Springer Publishing Company

ISSN: 1385-1292

Source: Positivity, Vol.12, Iss.2, 2008-05, pp. : 209-219

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Abstract

In this paper, we first give some invariant subspace results for collectively compact sets of operators in connection with the joint spectral radius of these sets. We then prove that any collectively compact set M in algΓ satisfies Berger-Wang formula, where Γ is a complete chain of subspaces of X.