On (A;m)-expansive operators
- 주제(키워드) (A , m)-Expansive operators , (A , m)-isometric operators , The singlevalued extension property , subscalar
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Polska Akademia Nauk
- 발행년도 2012
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000095056
- 본문언어 영어
- Published As http://dx.doi.org/10.4064/sm213-1-2
초록/요약
We give several conditions for (A,m)-expansive operators to have the single-valued extension property. We also provide some spectral properties of such operators. Moreover, we prove that the A-covariance of any (A,2)-expansive operator T ∈ L(H) is positive, showing that there exists a reducing subspaceMon which T is (A,2)-isometric. In addition, we verify that Weyl's theorem holds for an operator T ∈L(H) provided that T is (T T; 2)-expansive. We next study (A,m)-isometric operators as a special case of (A,m)-expansive operators. Finally, we prove that every operator T ∈ L(H) which is (T T; 2)-isometric has a scalar extension. © Instytut Matematyczny PAN, 2012.
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