Banach spaces and operators which are nearly uniformly convex

Prus Stanisław. Banach spaces and operators which are nearly uniformly convex. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1997. <http://eudml.org/doc/270068>.

@book{PrusStanisław1997,
abstract = {CONTENTSIntroduction..............................................................................................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........................................................27Nearly 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.................40References.............................................................................................451991 Mathematics Subject Classification: 46B03, 46B10, 46B70, 47A05.},
author = {Prus Stanisław},
keywords = {uniform convexity; nearly uniform smoothness; -local notions; metric fixed point theory; nearly uniformly convex; nearly uniformly smooth; -estimations; shrinking -basis; Lions-Peetre interpolation method; factorizations of operators; weakly compact; Banach-Saks operators},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Banach spaces and operators which are nearly uniformly convex},
url = {http://eudml.org/doc/270068},
year = {1997},
}

TY - BOOK
AU - Prus Stanisław
TI - Banach spaces and operators which are nearly uniformly convex
PY - 1997
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction..............................................................................................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........................................................27Nearly 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.................40References.............................................................................................451991 Mathematics Subject Classification: 46B03, 46B10, 46B70, 47A05.
LA - eng
KW - uniform convexity; nearly uniform smoothness; -local notions; metric fixed point theory; nearly uniformly convex; nearly uniformly smooth; -estimations; shrinking -basis; Lions-Peetre interpolation method; factorizations of operators; weakly compact; Banach-Saks operators
UR - http://eudml.org/doc/270068
ER -