Title : ( Some Inequalities for Selfadjoint Operators on Quaternionic Hilbert Spaces )
Authors: shokooh mahdipour , Massoumeh Fashandi ,
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Abstract
In this paper, we prove some inequalities between quaternionic bounded selfadjoint operators on quaternionic Hilbert spaces. We follow the Mond–Pecaric method in operator inequalities in case of complex Hilbert spaces and obtain the similar inequalities in the quaternionic setting. The results are applied to prove some inequalities for positive quaternionic operators.
Keywords
, Quaternionic Hilbert spaces, Continuous functional calculus, Spectral theory, Mond–Pecaric method.
@article{paperid:1077164,
author = {Mahdipour, Shokooh and Fashandi, Massoumeh},
title = {Some Inequalities for Selfadjoint Operators on Quaternionic Hilbert Spaces},
journal = {Advances in Applied Clifford Algebras},
year = {2019},
volume = {30},
number = {1},
month = {November},
issn = {0188-7009},
keywords = {Quaternionic Hilbert spaces; Continuous functional calculus; Spectral theory; Mond–Pecaric method.},
}
%0 Journal Article
%T Some Inequalities for Selfadjoint Operators on Quaternionic Hilbert Spaces
%A Mahdipour, Shokooh
%A Fashandi, Massoumeh
%J Advances in Applied Clifford Algebras
%@ 0188-7009
%D 2019
