This article is cited in 2 papers

Hölder type inequalities for orthosymmetric bilinear operators

A. G. Kusraev

Institute of Applied Mathematics and Informatics, Vladikavkaz Science Center of the RAS, Vladikavkaz, Russia

Abstract: An interplay between squares of vector lattice and homogeneous functional calculus is considered and Hölder type inequalities for orthosymmetric bilinear operators are obtained.

Key words: orthosymmetric bilinear operator, lattice bimorphism, homogeneous functional calculus, squares of vector lattices, Hölder type inequalities.

UDC: 517.98

MSC: 47A63, 47B65, 47A60

Received: 25.04.2007

Language: English

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