This article is cited in 1 paper

Generalized functional calculus in lattice-ordered algebras

B. B. Tasoev

Southern Mathematical Institute, Vladikavkaz, Russia

Abstract: We construct a functional calculus on unital uniformly complete $f$-algebras for continuous center-valued functions of polynomial growth and study the connection with the Minkowski duality.

Keywords: vector lattice, functional calculus, Minkowski duality.

UDC: 517.98

Received: 16.07.2014

 English version: Siberian Mathematical Journal, 2014, 55:5, 968–976

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