Publication: Invariant Subspaces of Collectively Compact Sets of Linear Operators
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Springer Science and Business Media LLC
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Abstract
The authors introduce some invariant subspace results for collectively compact families of operators and they also show that any collectively compact set of operators satisfies the Berger--Wang formula [\textit{M.\,A.\thinspace Berger} and \textit{Y.\,Wang}, Linear Algebra Appl.\ 166, 21--27 (1992; Zbl 0818.15006)] in a special case.
Description
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Positivity
ISSN
1385-1292
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OPEN
Keywords
spectral radius, Groups and semigroups of linear operators, Invariant subspaces of linear operators, invariant subspace, Berger-Wang formula, multiplicative semigroup of operators, Volterra semigroup, joint spectral radius, hyperinvariant subspace, Invariant subspace, collectively compact set