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OPTIMAL BANACH FUNCTION SPACE FOR A GIVEN CONE OF DECREASING FUNCTIONS IN A WEIGHTED L-p - SPACEThe problem is considered of constructing optimal (i.e. minimal) generalized Banach function space

Optimal banach function space for a given cone of decreasing functions in a weighted Lp - spaceThe problem is considered of constructing optimal (i.e. minimal) generalized Banach function space

A Banach couple is determined by the collection of its interpolation spacesWe prove that an arbitrary Banach couple is uniquely determined by the collection of all its

Spaceability on Morrey SpacesIn this paper, as a main result for Morrey spaces, we prove that the set (formula presented), where

Interpolation of positive operatorsWe study problems of interpolation of positive linear operators in couples of ordered Banach spaces

Measurability of the banach indicatrixWe establish the measurability of the Banach indicatrix for a measurable mapping in a geometrically

A Banach couple is determined by the collection of its interpolation spacesWe prove that an arbitrary Banach couple is uniquely determined by the collection of all its

On the solvability of parabolic functional differential equations in banach spacesIn this paper, a parabolic functional differential equation is considered in the spaces C(0; T;H1 p

On solvability of parabolic functional differential equations in banach spaces (II)In this paper, a parabolic functional differential equation is considered in the spaces for s close

Dominated operators from lattice-normed spaces to sequence Banach latticesAbstract. We show that every dominated linear operator from a Banach-Kantorovich space over

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