Extension and factorization of Riesz multimorphisms between pre-Riesz spaces

Date

Mar 5, 2020

Time

3:15 PM - 4:15 PM

Affiliation

Southern Mathematical Institute of Vladivazkaz Scientific Center of the Russian Academy of Science

Series

TUD Mathematik Oberseminar Analysis

Language

de

Main Topic

Mathematik

Host

PD Dr. A. Kalauch

Description

The aim of this talk is to give an answer to the following problem, formulated by A. Kalauch and O. van Gaans: Let $X_1, X_2$ be pre-Riesz spaces, $Y_1$, $(Y_2; i_2)$ their Riesz completions, respectively, $Y$ a vector lattice, and $B: X_1\times X_2\to Y$ a bilinear map. Under which conditions on $B$ does there exist a bi-Riesz homomorphism $\hat{B}:Y_1\times Y_2\to Y$ such that for every $u\in X_1$ and $v\in X_2$ one has $B(u,v)=\hat{B}(i_1(u),i_2(v))$?

Links

• Oberseminar Analysis

Last modified: Feb 18, 2020, 2:19:46 PM