Original scientific paper

https://doi.org/10.3336/gm.48.2.12

Quadratic operators on AM-spaces

Włodzimierz Fechner orcid.org/0000-0002-9653-3500 ; Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

Abstract

Our purpose is to deal with quadratic operators acting between vector lattices of continuous mappings on a compact Hausdorff space. In our first main result we characterize quadratic-multiplicative operators, whereas in the second one we provide necessary and sufficient conditions for a quadratic operator to be proportional to the square of a continuous linear operator.

Keywords

Quadratic operator; vector lattice; AM-space

Hrčak ID:

112216

URI

https://hrcak.srce.hr/112216

Publication date:

16.12.2013.

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