Acta Mathematica Sinica, English Series

, Volume 31, Issue 10, pp 1621–1628 | Cite as

On principal invariant subspaces

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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).

Keywords

Hilbert space operator matrix invariant subspace principal invariant subspace 

MR(2010) Subject Classification

47A10 47A15 47L05 
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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.School of ScienceShanghai Institute of TechnologyShanghaiP. R. China
  2. 2.Department of MathematicsTongji UniversityShanghaiP. R. China

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