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Banach spaces and operators which are nearly uniformly convex

100%

Prus S.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction..............................................................................................5 I. Basic definitions and notation..............................................................6 M-bases and finite-dimensional decompositions....................................6 Some geometric properties of Banach spaces.......................................9 II. Constructions of equivalent norms.....................................................12 III. (p,q)-estimates in interpolation spaces..............................................21 IV. Geometric properties of operators....................................................26 Nearly uniformly convex operators........................................................27 Nearly uniformly smooth operators.........................................................30 V. Factoring operators through nearly uniformly convex spaces...........35 Factorizations and geometric properties of operators..........................35 The case of spaces with finite-dimensional decompositions.................40 References.............................................................................................45

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1 Prus S.

1 1997

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Banach spaces and operators which are nearly uniformly convex