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Pre-Riesz spaces / Anke Kalauch, Onno van Gaans.

By: Contributor(s): Material type: TextTextSeries: De Gruyter expositions in mathematics ; 66.Publisher: Berlin ; Boston : Walter de Gruyter GmbH, [2019]Description: 1 online resource (xiii, 301 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110476293
  • 3110476290
  • 9783110475449
  • 3110475448
Subject(s): Genre/Form: Additional physical formats: Print version:: Pre-Riesz spaces.DDC classification:
  • 515/.73 23
LOC classification:
  • QA322
  • QA322 .K337 2019e
Online resources:
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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

"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."

Includes bibliographical references (pages 289-295) and index.

Online resource; title from digital title page (De Gruyter, viewed July 21, 2020).

"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.

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.

Master record variable field(s) change: 050

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