L 2 -Summand Vectors and Complemented Hilbertizable Subspaces

Antonio Aizpuru; Francisco J. García-Pacheco

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 3, page 1143-1148
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Aizpuru, Antonio, and García-Pacheco, Francisco J.. "$L^2$-Summand Vectors and Complemented Hilbertizable Subspaces." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 1143-1148. <http://eudml.org/doc/290445>.

@article{Aizpuru2007,
abstract = {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.},
author = {Aizpuru, Antonio, García-Pacheco, Francisco J.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {1143-1148},
publisher = {Unione Matematica Italiana},
title = {$L^2$-Summand Vectors and Complemented Hilbertizable Subspaces},
url = {http://eudml.org/doc/290445},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Aizpuru, Antonio
AU - García-Pacheco, Francisco J.
TI - $L^2$-Summand Vectors and Complemented Hilbertizable Subspaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 1143
EP - 1148
AB - 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.
LA - eng
UR - http://eudml.org/doc/290445
ER -

References

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  1. AIZPURU, A. - GARCÍA-PACHECO, F. J., L 2 -summand vectors in Banach spaces, Proc. Amer. Math. Soc., 134, 7 (2006), 2109-2115. MR2215781DOI10.1090/S0002-9939-06-08243-8
  2. BEHRENDS, E. et al., L p -structure in real Banach spaces, Lecture Notes in Mathematics613, Berlin-Heidelberg-New York, Springer-Verlag, 1977. Zbl0362.46020MR626051
  3. BEHRENDS, E., L p -struktur in Banachräumen, Studia Math., 55 (1976), 71-85. MR402466DOI10.4064/sm-55-1-71-85
  4. BECERRA-GUERRERO, J. - RODRÍGUEZ-PALACIOS, A., Transitivity of the norm on Banach spaces, Extracta Math., 17, 1 (2002) 1-58. Zbl1006.46007MR1914238
  5. CARLSON, J. W. - HICKS, T. L., A characterization of inner product spaces, Math. Japonica, 23, 4 (1978), 371-373. Zbl0395.46018MR524986

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