Vector Lattices and Intergal Operators by Semën Samsonovi KutateladzeVector Lattices and Intergal Operators by Semën Samsonovi Kutateladze

Vector Lattices and Intergal Operators

bySemën Samsonovi Kutateladze

Paperback | September 20, 2011

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This volume is devoted to modern accomplishments in the field of vector lattices and integral operators which were achieved in Russia during the last two decades. Nonstandard methods are elaborated for the analysis of vector lattices and positive operators. Much attention is paid to studying stability under multiplication by an arbitrary bounded operator for various classes of operators which are defined in terms of order. Also, several approaches to the solution of the J. von Neumann problem on the conditions for integrability of a linear operator are treated, and full information is given on the solution of some problems posed by P. Halmos and V. Sunder. Audience: This book is intended for mathematicians, students and postgraduates interested in functional analysis, operator theory, geometry of Banach spaces and vector lattices.
Title:Vector Lattices and Intergal OperatorsFormat:PaperbackDimensions:462 pages, 24 × 16 × 0.01 inPublished:September 20, 2011Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401065713

ISBN - 13:9789401065719


Table of Contents

Foreword. 1. Nonstandard Theory of Vector Lattices; A.G. Kusraev, S.S. Kutateladze. 2. Operator Classes Determined by Order Conditions; A.V. Bukhvalov. 3. Stably Dominated and Stably Regulator Operators; B.M. Makarov. 4. Integral Operators; A.V. Bukhvalov, V.B. Korotkov, B.M. Makarov. 5. Disjointness Preserving Operators; A.E. Gutman. Index.