Cauchy–Schwarz type inequalities in 2-Hilbert 𝒜-modules and its reverses

Parvaneh Vaziri, Hadi Khodabakhshian

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Source: Crossref

Published: Mar 28, 2023

DOI: 10.1142/s1793557123501334

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Source abstract

We introduce the notion of 2-Hilbert [Formula: see text] modules and give some characterizations. The key idea is to consider a 2-Hilbert space instead of a Hilbert space. We employ our results to obtain reverse Cauchy–Schwarz and triangle inequality in this setting.

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