Nonstandard Analysis and Vector Lattices

ISBN-13: 9780792366195 / Angielski / Twarda / 2000 / 320 str.

S. S. Kutateladze; Semen S. Kutateladze; S. S. Kutateladze

Opis

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.

Spis treści

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; È.Yu. Emel'yanov. 5. Vector Measures and Dominated Mappings; A.G. Kusraev, S.A. Malyugin. Notation Index. Subject Index.