$L^2$-Summand Vectors and Complemented Hilbertizable Subspaces
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 1143-1148.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper, we show a necessary and sufficient condition for a real Banach space to have an infinite dimensional subspace which is hilbertizable and complemented using techniques related to $L^2$-summand vectors.
In questo articolo, mostriamo una condizione necessaria e sufficiente affinché uno spazio di Banach reale abbia un sottospazio infinito dimensionale il quale sia hilbertizzabile e complementato, usando tecniche relazionate con vettori $L^2$-summand.
@article{BUMI_2007_8_10B_3_a45,
     author = {Aizpuru, Antonio and Garc{\'\i}a-Pacheco, Francisco J.},
     title = {$L^2${-Summand} {Vectors} and {Complemented} {Hilbertizable} {Subspaces}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {1143--1148},
     publisher = {mathdoc},
     volume = {Ser. 8, 10B},
     number = {3},
     year = {2007},
     zbl = {1200.46015},
     mrnumber = {2215781},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a45/}
}
TY  - JOUR
AU  - Aizpuru, Antonio
AU  - García-Pacheco, Francisco J.
TI  - $L^2$-Summand Vectors and Complemented Hilbertizable Subspaces
JO  - Bollettino della Unione matematica italiana
PY  - 2007
SP  - 1143
EP  - 1148
VL  - 10B
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a45/
LA  - en
ID  - BUMI_2007_8_10B_3_a45
ER  - 
%0 Journal Article
%A Aizpuru, Antonio
%A García-Pacheco, Francisco J.
%T $L^2$-Summand Vectors and Complemented Hilbertizable Subspaces
%J Bollettino della Unione matematica italiana
%D 2007
%P 1143-1148
%V 10B
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a45/
%G en
%F BUMI_2007_8_10B_3_a45
Aizpuru, Antonio; García-Pacheco, Francisco J. $L^2$-Summand Vectors and Complemented Hilbertizable Subspaces. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 1143-1148. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a45/

[1] A. Aizpuru - F. J. García-Pacheco, $L^2$-summand vectors in Banach spaces, Proc. Amer. Math. Soc., 134, 7 (2006), 2109-2115. | DOI | MR

[2] E. Behrends et al., $L^p$-structure in real Banach spaces, Lecture Notes in Mathematics 613, Berlin-Heidelberg-New York, Springer-Verlag, 1977. | MR | Zbl

[3] E. Behrends, $L^p$-struktur in Banachräumen, Studia Math., 55 (1976), 71-85. | fulltext EuDML | DOI | MR

[4] J. Becerra-Guerrero - A. Rodríguez-Palacios, Transitivity of the norm on Banach spaces, Extracta Math., 17, 1 (2002) 1-58. | fulltext EuDML | MR | Zbl

[5] J. W. Carlson - T. L. Hicks, A characterization of inner product spaces, Math. Japonica, 23, 4 (1978), 371-373. | MR | Zbl