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

Date
Jan 23, 2020
Time
3:15 PM - 4:15 PM
Speaker
PD Dr. Anke Kalauch
Affiliation
TU Dresden, Institut für Analysis
Series
TUD Mathematik Oberseminar Analysis
Language
en
Main Topic
Mathematik
Host
Prof. Dr. R. Chill
Description
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

Last modified: Jan 15, 2020, 1:13:12 PM

Location

TUD Willers-Bau (WIL C 129)Zellescher Weg12-1401069Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00

Organizer

TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
Phone
49-351-463 33376
Homepage
http://tu-dresden.de/mathematik
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