Reverse Cauchy--Schwarz inequalities for positive C*-valued sesquilinear forms

Details Reverse Cauchy--Schwarz inequalities for positive C*-valued sesquilinear forms Reverse Cauchy--Schwarz inequalities for positive C*-valued sesquilinear forms

2009-05-25

arxiv.org/abs/0905.4065v1

Math. Inequal. Appl. 4 (2009), no. 4, 701-709

Mathematics

Operator Algebras

10 pages, to appear in Math. Ineq. Apl. (MIA)

Scientific paper

We prove two new reverse Cauchy--Schwarz inequalities of additive and
multiplicative types in a space equipped with a positive sesquilinear form with
values in a C*-algebra. We apply our results to get some norm and integral
inequalities. As a consequence, we improve a celebrated reverse Cauchy--Schwarz
inequality due to G Polya and G. Szego.

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