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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