ALMOST INVARIANT HALF-SPACES FOR OPERATORS ON HILBERT SPACE
- 주제(키워드) invariant subspace , half-space , almost invariant half-space , almost invariant half-space with defect n
- 주제(기타) Mathematics
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 CAMBRIDGE UNIV PRESS
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000149481
- 본문언어 영어
- Published As http://dx.doi.org/10.1017/S0004972717000533
초록/요약
The theory of almost invariant half-spaces for operators on Banach spaces was begun recently and is now under active development. Much less attention has been given to almost invariant half-spaces for operators on Hilbert space, where some techniques and results are available that are not present in the more general context of Banach spaces. In this note, we begin such a study. Our much simpler and shorter proofs of the main theorems have important consequences for the matricial structure of arbitrary operators on Hilbert space.
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