Multiplicative characterization of Hilbert spaces and other interesting classes of Banach spaces.

Rodríguez Palacios, A.. "Multiplicative characterization of Hilbert spaces and other interesting classes of Banach spaces.." Revista Matemática de la Universidad Complutense de Madrid 9.Extr. (1996): 149-189. <http://eudml.org/doc/44216>.

@article{RodríguezPalacios1996,
abstract = {For a Banach space X, we show how the existence of a norm-one element u in X and a norm-one continuous bilinear mapping f: X x X --&gt; X satisfying f(x,u) = f(u,x) = x for all x in X, together with some more intrinsic conditions, can be utilized to characterize X as a member of some relevant subclass of the class of Banach spaces.},
author = {Rodríguez Palacios, A.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacios de Hilbert; Espacios de Banach; Producto interior; Algebras de Jordan; Algebra de Banach; Teoría de anillos; Formas bilineales continuas; Operadores acotados; norm-one continuous bilinear mapping},
language = {eng},
number = {Extr.},
pages = {149-189},
title = {Multiplicative characterization of Hilbert spaces and other interesting classes of Banach spaces.},
url = {http://eudml.org/doc/44216},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Rodríguez Palacios, A.
TI - Multiplicative characterization of Hilbert spaces and other interesting classes of Banach spaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - Extr.
SP - 149
EP - 189
AB - For a Banach space X, we show how the existence of a norm-one element u in X and a norm-one continuous bilinear mapping f: X x X --&gt; X satisfying f(x,u) = f(u,x) = x for all x in X, together with some more intrinsic conditions, can be utilized to characterize X as a member of some relevant subclass of the class of Banach spaces.
LA - eng
KW - Espacios de Hilbert; Espacios de Banach; Producto interior; Algebras de Jordan; Algebra de Banach; Teoría de anillos; Formas bilineales continuas; Operadores acotados; norm-one continuous bilinear mapping
UR - http://eudml.org/doc/44216
ER -