Finite-dimensional decompositions of Banach spaces with (p,q)-estimates

Stanisław Prus

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1987

Abstract

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CONTENTSIntroduction................................................................................................................................5I. Basic notations and definitions................................................................................................7II. Basic properties of finite-dimensional decompositions with (p,q)-estimates............................8III. A construction of f.d.d.'s satisfying (p,q)-estimates and its geometric applications...............13IV. An application of the construction of f.d.d.'s with (p,q)-estimates to universal spaces.........24V. Examples..............................................................................................................................34Open problems.........................................................................................................................39References...............................................................................................................................40

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Stanisław Prus. Finite-dimensional decompositions of Banach spaces with (p,q)-estimates. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1987. <http://eudml.org/doc/268519>.

@book{StanisławPrus1987,
abstract = {CONTENTSIntroduction................................................................................................................................5I. Basic notations and definitions................................................................................................7II. Basic properties of finite-dimensional decompositions with (p,q)-estimates............................8III. A construction of f.d.d.'s satisfying (p,q)-estimates and its geometric applications...............13IV. An application of the construction of f.d.d.'s with (p,q)-estimates to universal spaces.........24V. Examples..............................................................................................................................34Open problems.........................................................................................................................39References...............................................................................................................................40},
author = {Stanisław Prus},
keywords = {Banach-Mazur theorem; separable reflexive space which is isometrically universal for the class of all separable reflexive spaces; separable super-reflexive spaces; universal separable reflexive space; Banach spaces with finite-dimensional decompositions satisfying (p,q)-estimates},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Finite-dimensional decompositions of Banach spaces with (p,q)-estimates},
url = {http://eudml.org/doc/268519},
year = {1987},
}

TY - BOOK
AU - Stanisław Prus
TI - Finite-dimensional decompositions of Banach spaces with (p,q)-estimates
PY - 1987
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction................................................................................................................................5I. Basic notations and definitions................................................................................................7II. Basic properties of finite-dimensional decompositions with (p,q)-estimates............................8III. A construction of f.d.d.'s satisfying (p,q)-estimates and its geometric applications...............13IV. An application of the construction of f.d.d.'s with (p,q)-estimates to universal spaces.........24V. Examples..............................................................................................................................34Open problems.........................................................................................................................39References...............................................................................................................................40
LA - eng
KW - Banach-Mazur theorem; separable reflexive space which is isometrically universal for the class of all separable reflexive spaces; separable super-reflexive spaces; universal separable reflexive space; Banach spaces with finite-dimensional decompositions satisfying (p,q)-estimates
UR - http://eudml.org/doc/268519
ER -

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