# Some operator monotone functions

- Authors
- Journal
- Linear Algebra and its Applications 0024-3795
- Publisher
- Elsevier
- Publication Date
- Volume
- 430
- Identifiers
- DOI: 10.1016/j.laa.2008.09.028
- Keywords
- Disciplines

## Abstract

Abstract We prove that the functions t → ( t q - 1 ) ( t p - 1 ) - 1 are operator monotone in the positive half-axis for 0 < p ⩽ q ⩽ 1 , and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems.

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