Title : ( REVERSE TRIANGLE INEQUALITY IN HILBERT C*-MODULES )
Authors: M. Khosravi , H. Mahyar , Mohammad Sal Moslehian ,
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Abstract
We prove several versions of reverse triangle inequality in Hilbert C-modules. We show that if e1, . . . , em are vectors in a Hilbert module X over a C-algebra A with unit 1 such that hei, eji = 0 (1 i 6= j m) and keik = 1 (1 i m), and also rk, k 2 R (1 k m) and x1, . . . , xn 2 X satisfy 0 r2 kkxjk Rehrkek, xji , 0 2 kkxjk Imhkek, xji , then m Xk=1
Keywords
, Triangle inequality, Reverse inequality, Hilbert C*-module, C*-algebra.
@article{paperid:1013526,
author = {M. Khosravi and H. Mahyar and Sal Moslehian, Mohammad},
title = {REVERSE TRIANGLE INEQUALITY IN HILBERT C*-MODULES},
journal = {Journal of Inequalities in Pure and Applied Mathematics},
year = {2009},
volume = {10},
number = {4},
month = {December},
issn = {1443-5756},
pages = {1--11},
numpages = {10},
keywords = {Triangle inequality; Reverse inequality; Hilbert C*-module; C*-algebra.},
}
%0 Journal Article
%T REVERSE TRIANGLE INEQUALITY IN HILBERT C*-MODULES
%A M. Khosravi
%A H. Mahyar
%A Sal Moslehian, Mohammad
%J Journal of Inequalities in Pure and Applied Mathematics
%@ 1443-5756
%D 2009
