Polynomial characterizations of Banach spaces not containing l1.

Joaquín M. Gutiérrez

Polynomial characterizations of Banach spaces not containing l1.

Joaquín M. Gutiérrez

Extracta Mathematicae (1991)

Volume: 6, Issue: 1, page 9-11
ISSN: 0213-8743

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Abstract

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Many properties of Banach spaces can be given in terms of (linear bounded) operators. It is natural to ask if they can also be formulated in terms of polynomial, holomorphic and continuous mappings. In this note we deal with Banach spaces not containing an isomorphic copy of l1, the space of absolutely summable sequences of scalars.

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Gutiérrez, Joaquín M.. "Polynomial characterizations of Banach spaces not containing l1.." Extracta Mathematicae 6.1 (1991): 9-11. <http://eudml.org/doc/39904>.

@article{Gutiérrez1991,
abstract = {Many properties of Banach spaces can be given in terms of (linear bounded) operators. It is natural to ask if they can also be formulated in terms of polynomial, holomorphic and continuous mappings. In this note we deal with Banach spaces not containing an isomorphic copy of l1, the space of absolutely summable sequences of scalars.},
author = {Gutiérrez, Joaquín M.},
journal = {Extracta Mathematicae},
keywords = {Espacios lineales topológicos; Espacios de funciones; Espacios normados; Funciones continuas; Aproximación polinómica},
language = {eng},
number = {1},
pages = {9-11},
title = {Polynomial characterizations of Banach spaces not containing l1.},
url = {http://eudml.org/doc/39904},
volume = {6},
year = {1991},
}

TY - JOUR
AU - Gutiérrez, Joaquín M.
TI - Polynomial characterizations of Banach spaces not containing l1.
JO - Extracta Mathematicae
PY - 1991
VL - 6
IS - 1
SP - 9
EP - 11
AB - Many properties of Banach spaces can be given in terms of (linear bounded) operators. It is natural to ask if they can also be formulated in terms of polynomial, holomorphic and continuous mappings. In this note we deal with Banach spaces not containing an isomorphic copy of l1, the space of absolutely summable sequences of scalars.
LA - eng
KW - Espacios lineales topológicos; Espacios de funciones; Espacios normados; Funciones continuas; Aproximación polinómica
UR - http://eudml.org/doc/39904
ER -

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