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Pre-Riesz spaces /

"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 o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kalauch, Anke, 1972- (Autor), Gaans, Onno van, 1971- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter GmbH, [2019]
Colección:De Gruyter expositions in mathematics ; 66.
Temas:
Acceso en línea:Texto completo

MARC

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020 |z 9783110475395  |q (hardcover) 
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100 1 |a Kalauch, Anke,  |d 1972-  |e author. 
245 1 0 |a Pre-Riesz spaces /  |c Anke Kalauch, Onno van Gaans. 
264 1 |a Berlin ;  |a Boston :  |b Walter de Gruyter GmbH,  |c [2019] 
264 4 |c ©2019 
300 |a 1 online resource (xiii, 301 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a De Gruyter expositions in mathematics,  |x 0938-6572 ;  |v volume 66 
500 |a "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." 
504 |a Includes bibliographical references (pages 289-295) and index. 
588 0 |a Online resource; title from digital title page (De Gruyter, viewed July 21, 2020). 
520 |a "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"--  |c Provided by publisher. 
505 0 |a 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. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Riesz spaces. 
650 0 |a Partially ordered spaces. 
650 0 |a Vector spaces. 
650 6 |a Espaces de Riesz. 
650 6 |a Espaces partiellement ordonnés. 
650 6 |a Espaces vectoriels. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Partially ordered spaces  |2 fast 
650 7 |a Riesz spaces  |2 fast 
650 7 |a Vector spaces  |2 fast 
700 1 |a Gaans, Onno van,  |d 1971-  |e author. 
776 0 8 |i Print version:  |a Kalauch, Anke, 1972-  |t Pre-Riesz spaces.  |d Berlin ; Boston : Walter de Gruyter GmbH, [2019]  |z 9783110475395  |w (DLC) 2018031534  |w (OCoLC)1023545740 
830 0 |a De Gruyter expositions in mathematics ;  |v 66. 
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