Extension and factorization of Riesz multimorphisms between pre-Riesz spaces

Datum

05.03.2020

Zeit

15:15 - 16:15

Zugehörigkeit

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

Serie

TUD Mathematik Oberseminar Analysis

Sprache

de

Hauptthema

Mathematik

Host

PD Dr. A. Kalauch

Beschreibung

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

Letztmalig verändert: 18.02.2020, 14:19:46