On principal invariant subspaces

Authors
Xu, Xiao Ming Fang, Xiao Chun
Citation
Xu, Xiao Ming et Fang, Xiao Chun, On principal invariant subspaces, Acta mathematica Sinica. English series (Print) , 31(10), 2015, pp. 1621-1628
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
10
Year of publication
2015
Pages
1621 - 1628
Database
ACNP
SICI code
Abstract
Let F and G be closed subspaces of the complex Hilbert space H, and U and V be closed subspaces of F and G, respectively. In this paper, using the technique of operator block, we present the necessary and sufficient conditions under which (U, V) is a pair of (strictly, non-degenerate) principal invariant subspaces for (F, G).