Title : ( Indefinite matrix inequalities via matrix means )
Authors: Jagjit Singh Matharu , Chitra Malhotra , Mohammad Sal Moslehian ,
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Abstract
For a selfadjoint involutive matrix J we equip with the indefinite inner product , where denotes the usual inner product on and endow the matrix algebra with a partially ordered relation . We define the notion of J-mean of J-selfadjoint matrices with spectra in for any normal matrix monotone function . We establish several fundamental properties of J-means such as the power monotonicity and prove an indefinite version of the Ando–Hiai inequality.
Keywords
, Indefinite inner product J, selfadjoint matrix Matrix monotone function Matrix mean
@article{paperid:1086876,
author = {Jagjit Singh Matharu and Chitra Malhotra and Sal Moslehian, Mohammad},
title = {Indefinite matrix inequalities via matrix means},
journal = {Bulletin des Sciences Mathematiques},
year = {2021},
volume = {171},
month = {October},
issn = {0007-4497},
pages = {103036--103036},
numpages = {0},
keywords = {Indefinite inner product
J-selfadjoint matrix
Matrix monotone function
Matrix mean},
}
%0 Journal Article
%T Indefinite matrix inequalities via matrix means
%A Jagjit Singh Matharu
%A Chitra Malhotra
%A Sal Moslehian, Mohammad
%J Bulletin des Sciences Mathematiques
%@ 0007-4497
%D 2021
