Banach Journal of Mathematical Analysis

Inequalities for interpolation functions

Dinh Trung Hoa and Hiroyuki Osaka

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Abstract

In this paper, in relation with interpolation functions we study some generalized Powers-Størmer's type inequalities and monotonicity inequality of indefinite type which generalizes a result of Ando.

Article information

Source
Banach J. Math. Anal., Volume 9, Number 1 (2015), 67-74.

Dates
First available in Project Euclid: 19 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.bjma/1419000578

Digital Object Identifier
doi:10.15352/bjma/09-1-6

Mathematical Reviews number (MathSciNet)
MR3296086

Zentralblatt MATH identifier
1336.46053

Subjects
Primary: 46L30: States
Secondary: 15A45: Miscellaneous inequalities involving matrices 47A63: Operator inequalities

Keywords
interpolation functions operator monotone functions traces spaces with indefinite inner product monotonicity inequality of indefinite type

Citation

Hoa , Dinh Trung; Osaka, Hiroyuki. Inequalities for interpolation functions. Banach J. Math. Anal. 9 (2015), no. 1, 67--74. doi:10.15352/bjma/09-1-6. https://projecteuclid.org/euclid.bjma/1419000578


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