Description: This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. Contents A primer on ordered vector spaces Embeddings, covers, and completions Seminorms on pre-Riesz spaces Disjointness, bands, and ideals in pre-Riesz spaces Operators on pre-Riesz spaces
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EAN: 9783110475395
UPC: 9783110475395
ISBN: 9783110475395
MPN: N/A
Book Title: Pre-Riesz Spaces (De Gruyter Expositions in Mathem
Item Length: 24.4 cm
Number of Pages: 314 Pages
Language: English
Publication Name: Pre-Riesz Spaces
Publisher: De Gruyter
Publication Year: 2018
Subject: Mathematics
Item Height: 240 mm
Item Weight: 664 g
Type: Textbook
Author: Onno Van Gaans, Anke Kalauch
Item Width: 170 mm
Format: Hardcover
