Title : ( Reverses Cauchy-Schwarz type inequalities in pre-inner product C*-modules )
Authors: Junichi Fujii , Masatoshi Fujii , Mohammad Sal Moslehian , Josip Pecaric , Yuki Seo ,
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Abstract
In the framework of pre-inner product C^* -modules, we show several reverse Cauchy--Schwarz type inequalities of additive and multiplicative types, by using some ideas in N. Elezovi c et al. [Math. Inequal. Appl. 8 (2005), no.2, 223--231]. We apply our results to give Klamkin-Mclenaghan, Shisha-Mond and Cassels type inequalities. We also present a Gr uss type inequality.
Keywords
, C^* -algebra, reverse Cauchy--Schwarz inequality, pre-inner product C^* -module, Cassels inequality, operator geometric mean, operator inequality
@article{paperid:1019045,
author = {Junichi Fujii and Masatoshi Fujii and Sal Moslehian, Mohammad and Josip Pecaric and Yuki Seo},
title = {Reverses Cauchy-Schwarz type inequalities in pre-inner product C*-modules},
journal = {Hokkaido Mathematical Journal},
year = {2011},
volume = {40},
number = {1},
month = {June},
issn = {0385-4035},
pages = {1--17},
numpages = {16},
keywords = {C^* -algebra; reverse Cauchy--Schwarz inequality;
pre-inner product C^* -module; Cassels inequality; operator
geometric mean; operator inequality},
}
%0 Journal Article
%T Reverses Cauchy-Schwarz type inequalities in pre-inner product C*-modules
%A Junichi Fujii
%A Masatoshi Fujii
%A Sal Moslehian, Mohammad
%A Josip Pecaric
%A Yuki Seo
%J Hokkaido Mathematical Journal
%@ 0385-4035
%D 2011
