Chebyshev coficients for L1-preduals and for spaces with the extension property.

Bayod Bayod, José Manuel, and Masa Noceda, María Concepción. "Chebyshev coficients for L1-preduals and for spaces with the extension property.." Publicacions Matemàtiques 34.2 (1990): 341-347. <http://eudml.org/doc/41142>.

@article{BayodBayod1990,
abstract = {We apply the Chebyshev coefficients λf and λb, recently introduced by the authors, to obtain some results related to certain geometric properties of Banach spaces. We prove that a real normed space E is an L1-predual if and only if λf(E) = 1/2, and that if a (real or complex) normed space E is a P1 space, then λb(E) equals λb(K), where K is the ground field of E.},
author = {Bayod Bayod, José Manuel, Masa Noceda, María Concepción},
journal = {Publicacions Matemàtiques},
keywords = {Polinomios; Polinomios de Chebyshev; Cauchy net; -predual; Chebyshev coefficients},
language = {eng},
number = {2},
pages = {341-347},
title = {Chebyshev coficients for L1-preduals and for spaces with the extension property.},
url = {http://eudml.org/doc/41142},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Bayod Bayod, José Manuel
AU - Masa Noceda, María Concepción
TI - Chebyshev coficients for L1-preduals and for spaces with the extension property.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 2
SP - 341
EP - 347
AB - We apply the Chebyshev coefficients λf and λb, recently introduced by the authors, to obtain some results related to certain geometric properties of Banach spaces. We prove that a real normed space E is an L1-predual if and only if λf(E) = 1/2, and that if a (real or complex) normed space E is a P1 space, then λb(E) equals λb(K), where K is the ground field of E.
LA - eng
KW - Polinomios; Polinomios de Chebyshev; Cauchy net; -predual; Chebyshev coefficients
UR - http://eudml.org/doc/41142
ER -