Titlebook: Vector Lattices and Intergal Operators; S. S. Kutateladze Book 1996 Kluwer Academic Publishers 1996 Hilbert space.Lattice.Multiplication.V

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Nonstandard Theory of Vector Lattices,the elements could be added to the properties of functional objects under consideration. At the same time, the general concept of a Banach space ignored a specific aspect of the functional spaces—the existence of a natural order structure in them, which makes these spaces vector lattices.

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Integral Operators,or an operator to be an integral operator. In Section 4.2, a necessary and sufficient condition for integrality of linear operators is given and, in Section 4.3, we apply this criterion to finding sufficient conditions for integrality of some classes of operators (in particular, dominated). In Secti

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Book 1996ges of the last two decades have changed its image completely. The range of its application was expanded and enriched so as to embrace diverse branches of the theory of functions, geometry of Banach spaces, operator theory, convex analysis, etc. Furthermore, the theory of vector lattices was impregn

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