Operator Theory and Operator algebras , 2008-11-20

Title : ( OPERATOR GENERALIZATIONS OF BOHR’S INEQUALITY )

Authors: farzad dadipour , Mohammad Sal Moslehian , J. E. Pecaric , I Peric , R. Rajic ,
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Abstract

The classical Bohr’s inequality states that for any z,w 2 C and any positive real numbers r, s with 1 r + 1 s = 1, |z + w|2  r|z|2 + s|w|2. There have been obtained interesting generalizations of this inequality in various settings. We present several extensions of this inequality in the frameworks of Hilbert C-modules and operators on Hilbert spacess.

Keywords

, Bohr’s inequality, operator inequality, positive operator, Hilbert C-module, C-algebra, Hilbert bundle.