On the Cauchy-Schwarz inequality and its reverse in semi-inner product \(C^*\)-modules (Q2458658)
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| Language | Label | Description | Also known as |
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| English | On the Cauchy-Schwarz inequality and its reverse in semi-inner product \(C^*\)-modules |
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On the Cauchy-Schwarz inequality and its reverse in semi-inner product \(C^*\)-modules (English)
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2 November 2007
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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.
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