An extension of Burnside’s Theorem to infinite-dimensional spaces |
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Authors: | V. Lomonosov |
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Affiliation: | (1) Department of Mathematics, Kent State University, 44242 Kent, OH, USA |
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Abstract: | The classical Burnside’s Theorem guarantees in a finite dimensional space the existence of invariant subspaces for a proper subalgebra of the matrix algebra. In this paper we give an extension of Burnside’s Theorem for a general Banach space, which also gives new results on invariant subspaces. Partially supported by a grant from the National Science Foundation. |
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