Multiplicative representation of bi-Riesz homomorphisms in partially ordered vector spaces

Datum

23.01.2020

Zeit

15:15 - 16:15

Sprecher

PD Dr. Anke Kalauch

Zugehörigkeit

TU Dresden, Institut für Analysis

Serie

TUD Mathematik Oberseminar Analysis

Sprache

en

Hauptthema

Mathematik

Host

Prof. Dr. R. Chill

Beschreibung

In vector lattice theory, operators as Riesz homomorphisms are well-investigated, and for bi-Riesz homomorphisms there exist results on multiplicative representations. In this spirit, we show that a bi-Riesz homomorphism between directed partially ordered vector spaces and the real numbers is the product of two Riesz homomorphisms, generalizing a classical result. Further, Riesz homomorphisms are introduced in partially ordered vector spaces in different ways, e.g. as Riesz* homomorphisms. Again inspired by results in vector lattices, we investigate kernels of differences of Riesz* homomorphisms in pre-Riesz spaces.

Links

• Oberseminar Analysis

Letztmalig verändert: 15.01.2020, 13:13:12