1. Principal invariant subspaces theorems.
- Author
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Xu, Xiao-Ming, Fang, Xiaochun, and Gao, Fugen
- Subjects
INVARIANT subspaces ,TOPOLOGICAL spaces ,PROOF theory ,FUNCTIONAL analysis ,MATHEMATICS ,MATHEMATICAL analysis - Abstract
In this paper, we present the necessary and sufficient conditions for which the given pair of closed subspaces has a pair of non-trivial principal invariant subspaces. Using this we show that every pairof closed subspaces withorhas a pair of non-trivial principal invariant subspaces. Also we prove that the pairof closed subspaces withhas a pair of non-trivial principal invariant subspaces if and only ifSimilar results are proved for non-degenerate principal invariant subspaces. [ABSTRACT FROM PUBLISHER]
- Published
- 2014
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