# Janko Stennder: Multimorphisms on order unit spaces

Date of publication: 27. 11. 2023

Algebra and functional analysis seminar

Thursday

30

November

Time:

12:30 - 13:30

Location:

učilnica 3.07, Jadranska 21

Abstract: Generalizing results from the setting of vector lattices, first properties of multilinear maps on order unit spaces, such as multi-orthomorphisms, multi-Riesz* homomorphisms, and orthosymmetric maps, are presented. Identifying order unit spaces with order dense subspaces of spaces of continuous functions, we give weighted composition or integral representations for these maps. Moreover, relations between the different kinds of multilinear maps and first applications in the theory of ordered algebras are given.

Vljudno vabljeni.

Roman Drnovšek in Primož Moravec