The Cauchy-Schwarz Inequality in Complex Normed Spaces
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Publication:6282205
arXiv1701.06031MaRDI QIDQ6282205
Author name not available (Why is that?)
Publication date: 21 January 2017
Abstract: We introduce a product in all complex normed vector spaces, which generalizes the inner product of complex inner product spaces. Naturally the question occurs whether the Cauchy-Schwarz inequality is fulfilled. We provide a positive answer. This also yields a new proof of the Cauchy-Schwarz inequality in complex inner product spaces, which does not rely on the linearity of the inner product. The proof depends only on the norm in the vector space. Further, we present some properties of the generalized product.
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