Integral polynomials on Banach spaces not containing 1

Raffaella Cilia; Joaquín M. Gutiérrez

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 1, page 221-231
  • ISSN: 0011-4642

Abstract

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We give new characterizations of Banach spaces not containing 1 in terms of integral and p -dominated polynomials, extending to the polynomial setting a result of Cardassi and more recent results of Rosenthal.

How to cite

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Cilia, Raffaella, and Gutiérrez, Joaquín M.. "Integral polynomials on Banach spaces not containing $\ell _1$." Czechoslovak Mathematical Journal 60.1 (2010): 221-231. <http://eudml.org/doc/38003>.

@article{Cilia2010,
abstract = {We give new characterizations of Banach spaces not containing $\ell _1$ in terms of integral and $p$-dominated polynomials, extending to the polynomial setting a result of Cardassi and more recent results of Rosenthal.},
author = {Cilia, Raffaella, Gutiérrez, Joaquín M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {(Pietsch) integral polynomial; Banach space not containing $\ell _1$; $p$-dominated polynomial; (Pietsch) integral polynomial; Banach space not containing , -dominated polynomial},
language = {eng},
number = {1},
pages = {221-231},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Integral polynomials on Banach spaces not containing $\ell _1$},
url = {http://eudml.org/doc/38003},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Cilia, Raffaella
AU - Gutiérrez, Joaquín M.
TI - Integral polynomials on Banach spaces not containing $\ell _1$
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 1
SP - 221
EP - 231
AB - We give new characterizations of Banach spaces not containing $\ell _1$ in terms of integral and $p$-dominated polynomials, extending to the polynomial setting a result of Cardassi and more recent results of Rosenthal.
LA - eng
KW - (Pietsch) integral polynomial; Banach space not containing $\ell _1$; $p$-dominated polynomial; (Pietsch) integral polynomial; Banach space not containing , -dominated polynomial
UR - http://eudml.org/doc/38003
ER -

References

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