engleski

On the Cauchy-Schwarz inequality and its reverse in semi-inner product C*-modules

There are many known Cauchy-Schwarz-type inequalities which are valid in different frameworks. In this paper we consider the A-valued Cauchy-Schwarz inequality and its reverse in a semi-inner product A-module over the C*-algebra A. Some remarks on the A-valued Cauchy-Schwarz inequality in a semi-inner product A-module over the H*-algebra A are also given.

the Cauchy-Schwarz inequality ; semi-inner product C*-module ; semi-inner product H*-module

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