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On the Cauchy-Buniakowsky-Schwartz’s inequality for sequences in inner product spaces. (English) Zbl 0964.26013

The author introduces certain mappings connected with the Cauchy-Buniakowski-Schwarz inequality for sequences of vectors in inner product spaces, and studies their superadditivity or supermultiplicativity properties.

MSC:

26D15 Inequalities for sums, series and integrals
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
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