Janko Stennder: Multimorphisms on order unit spaces

Datum objave: 27. 11. 2023
Seminar za algebro in funkcionalno analizo
četrtek
30
november
Ura:
12.30 - 13.30
Lokacija:
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