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ON OPERATORS SATISFYING THE GENERALIZED CAUCHY-SCHWARZ INEQUALITY

Title
ON OPERATORS SATISFYING THE GENERALIZED CAUCHY-SCHWARZ INEQUALITY
Authors
Choi, HannaKim, YoenhaKo, Eungil
Ewha Authors
고응일김연하
SCOPUS Author ID
고응일scopus
Issue Date
2017
Journal Title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN
0002-9939JCR Link1088-6826JCR Link
Citation
vol. 145, no. 8, pp. 3447 - 3453
Publisher
AMER MATHEMATICAL SOC
Indexed
SCI; SCIE; SCOPUS WOS
Abstract
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.
DOI
10.1090/proc/13473
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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