Operator means deformed by a fixed point method

DOI10.1007/s43036-019-00034-9zbMath1502.47028arXiv1711.10170OpenAlexW3004457552MaRDI QIDQ782511

Fumio Hiai

Publication date: 27 July 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10170

zbMATH Keywords

fixed pointpositive definite matricesoperator monotone functionweighted power meanoperator meanweighted geometric meanThompson metric

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Positive linear operators and order-bounded operators (47B65) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (5)

Operator power means in the view of fixed points ⋮ Some matrix equations involving the weighted geometric mean ⋮ Ando–Hiai type inequalities for multivariate operator means ⋮ The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results ⋮ VARIANTS OF ANDO–HIAI TYPE INEQUALITIES FOR DEFORMED MEANS AND APPLICATIONS

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