The applications of Cauchy-Schwartz inequality for Hilbert modules to\n elementary operators and i.p.t.i. transformers

2018/01/24 by Dragoljub J. Kečkić, Kečkić, Dragoljub J.
Computer Science · Mathematics · #Matrix Theory and Algorithms #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1801.07953

Abstract

We apply the inequality\n\|<x,y>\|\≤\‖x\‖ ,<y,y>^1/2 to give an easy\nand elementary proof of many operator inequalities for elementary operators and\ninner type product integral transformers obtained during last two decades,\nwhich also generalizes all of them.\n

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