2014
DOI: 10.1186/1029-242x-2014-385
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Some convexity inequalities in noncommutative L p -spaces

Abstract: In this paper, we prove some convexity inequalities in noncommutative L p spaces generalizing the previous result of Hiai and Zhan. Moreover, we generalize a variational inequality for positive definite matrices due to Hansen to the case of noncommutative L p spaces. MSC: 47A30; 47L05; 47L50

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Cited by 3 publications
(2 citation statements)
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“…The Corollary can be regarded as an extension of [10,Corollary 3.4]. In the following result, we present a -measurable version of the main result in [1].…”
Section: +1mentioning
confidence: 95%
“…The Corollary can be regarded as an extension of [10,Corollary 3.4]. In the following result, we present a -measurable version of the main result in [1].…”
Section: +1mentioning
confidence: 95%
“…Research under dynamic loading conditions is quite rare. Kubota et al [7] and Shao et al [8] calculated the dynamic strength of aluminum containing an initial distribution of microscopic defects and nanometric bubbles. Raicher et al [9] investigated the equation of state (EOS) for aluminum with helium bubbles with the molecular dynamics method.…”
mentioning
confidence: 99%