Invariant Subspaces of Collectively Compact Sets of Linear Operators |
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| Authors: | ?afak Alpay Tunç M?s?rl?o?lu |
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| Institution: | (1) Department of Mathematics, Middle East Technical University, 06531 Ankara, Republic of Turkey;(2) Department of Mathematics, Istanbul Technical University, 34469 Maslak-Istanbul, Republic of Turkey |
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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.
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| Keywords: | 47A15 |
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