Nonstandard analysis and vector lattices

Author(s)

• Kutateladze, S. S. (Semen Samsonovich)

Bibliographic Information

Nonstandard analysis and vector lattices

edited by S.S. Kutateladze

（Mathematics and its applications, v. 525）

Kluwer Academic Publishers, 2000

• acid-free paper

Note

Includes bibliographical references and indexes

Description and Table of Contents

Description

This volume collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Boolean-valued constructions of use in the classical problems of representing abstract analytical objects, such as Banach-Kantorovich spaces, vector measures, and dominated and integral operators. The book is a complement to Volume 358 of "MIA Vector Lattices and Integral Operators", printed in 1996.

Table of Contents

• Foreword. 1. Nonstandard Methods and Kantorovich Spaces
• A.G. Kusraev, S.S. Kutateladze. 2. Functional Representation of a Boolean Valued Universe
• A.E. Gutman, G.A. Losenkov. 3. Dual Banach Bundles
• A.E. Gutman, A.V. Koptev. 4. Infinitesimals in Vector Lattices
• E.Yu. Emel'yanov. 5. Vector Measures and Dominated Mappings
• A.G. Kusraev, S.A. Malyugin. Notation Index. Subject Index.

by "Nielsen BookData"

Details

• NCID: BA49471912
• ISBN:
  • 0792366190
• LCCN: 00064709
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston
• Pages/Volumes: xii, 307 p.
• Size: 25 cm
• Classification:
  • LCC : QA299.82
  • DC21 : 515
• Subject Headings:
  • LCSH : Nonstandard mathematical analysis
  • LCSH : Vector lattices, Archimedian
• Parent Bibliography ID:
  • BA00044495