On operators with similar positive parts
- 주제(키워드) Polar decomposition , Similarity of positive parts , Spectral property
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press Inc.
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000151399
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jmaa.2018.03.032
초록/요약
Let S=US|S| and T=UT|T| be the polar decompositions of S and T in L(H), respectively. We say that S and T have similar positive parts if |S| and |T| are similar. In this paper, we investigate properties of operators that are preserved under this similarity condition. We describe the form for the polar decomposition of an operator when the operator and its adjoint have similar positive parts. For this case, we also study the existence of invariant subspaces under this assumption. © 2018 Elsevier Inc.
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