ON OPERATORS SATISFYING THE GENERALIZED CAUCHY-SCHWARZ INEQUALITY
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 AMER MATHEMATICAL SOC
- 발행년도 2017
- URI http://www.dcollection.net/handler/ewha/000000147324
- 본문언어 영어
- Published As http://dx.doi.org/10.1090/proc/13473
초록/요약
In this paper, we introduce the generalized Cauchy-Schwarz inequality for an operator T is an element of L(H) and investigate various properties of operators which satisfy the generalized Cauchy-Schwarz inequality. In particular, every p-hyponormal operator satisfies this inequality. We also prove that if T is an element of L( H) satisfies the generalized Cauchy-Schwarz inequality, then T is paranormal. As an application, we show that if both T and T* in L(H) satisfy the generalized Cauchy-Schwarz inequality, then T is normal.
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