Limit search to available items
Book Cover
E-book
Author Kalauch, Anke, 1972- author.

Title Pre-Riesz spaces / Anke Kalauch, Onno van Gaans
Published Berlin ; Boston : Walter de Gruyter GmbH, [2019]
©2019

Copies

Description 1 online resource (xiii, 301 pages) : illustrations
Series De Gruyter expositions in mathematics, 0938-6572 ; volume 66
De Gruyter expositions in mathematics ; 66.
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
Summary "This monograph develops the theory of operators on partially ordered vector spaces as an extension to the classical theory on Riesz spaces. Structures from vector lattice theory, such as disjointness, ideals and bands are studied with respect to which extend they can be extended to partially ordered vector spaces"-- Provided by publisher
Notes "The book is meant to serve several purposes. First, it is a convenient up-to-date account of the present state of the theory of pre-Riesz spaces for experienced researchers. Second, we tried to make the book a friendly introduction to pre-Riesz spaces for re-searchers starting in the field of positivity. Third, the material in Chapter 1 is a brief overview of the more classical theory of partially ordered vector spaces, and can be used as a source for an introductory graduate course. Throughout the book, we elaborate proofs in quite some detail, so that the exposition is accessible for students with some training in functional analysis."
Bibliography Includes bibliographical references (pages 289-295) and index
Notes Online resource; title from digital title page (De Gruyter, viewed July 21, 2020)
Subject Riesz spaces.
Partially ordered spaces.
Vector spaces.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Partially ordered spaces
Riesz spaces
Vector spaces
Form Electronic book
Author Gaans, Onno van, 1971- author.
LC no. 2018039652
ISBN 9783110476293
3110476290
9783110475449
3110475448