Complemented subspaces and the Hahn-Banach extension property in lp(0 < p < 1)
Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 115-120
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In this article, we study some questions related to the complementation and the Hahn-Banach property for subspaces of lp, for 0 < p < 1. Some results which are stated here have appeared in the work of W. J. Stiles [4, 5] and N. Popa [3], but our proofs are simpler. We solve a problem raised by Popa [3], concerning complemented copies of lp contained in lp.
Ariño, M. A.; Canela, M. A. Complemented subspaces and the Hahn-Banach extension property in lp(0 < p < 1). Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 115-120. doi: 10.1017/S0017089500006431
@article{10_1017_S0017089500006431,
author = {Ari\~no, M. A. and Canela, M. A.},
title = {Complemented subspaces and the {Hahn-Banach} extension property in lp(0 < p < 1)},
journal = {Glasgow mathematical journal},
pages = {115--120},
year = {1986},
volume = {28},
number = {2},
doi = {10.1017/S0017089500006431},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500006431/}
}
TY - JOUR AU - Ariño, M. A. AU - Canela, M. A. TI - Complemented subspaces and the Hahn-Banach extension property in lp(0 < p < 1) JO - Glasgow mathematical journal PY - 1986 SP - 115 EP - 120 VL - 28 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500006431/ DO - 10.1017/S0017089500006431 ID - 10_1017_S0017089500006431 ER -
%0 Journal Article %A Ariño, M. A. %A Canela, M. A. %T Complemented subspaces and the Hahn-Banach extension property in lp(0 < p < 1) %J Glasgow mathematical journal %D 1986 %P 115-120 %V 28 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500006431/ %R 10.1017/S0017089500006431 %F 10_1017_S0017089500006431
[1] 1.Köthe, G., Topological Vector Spaces I (Springer, 1969). Google Scholar
[2] 2.Lindenstrauss, J. and Tzafriri, L., Classical Banach Spaces I (Springer, 1977). Google Scholar | DOI
[3] 3.Popa, N., On complemented subspaces of l, 0<p<1, Rev. Roumaine Math. Pures Appl. 26 (1981), 287–299. Google Scholar
[4] 4.Stiles, W. J., On properties of subspaces of l,0<p< 1, Trans. Amer. Math. Soc. 149 (1970), 405–415. Google Scholar
[5] 5.Stiles, W. J.. Some properties of l , 0<p<1. Studia Math. 42 (1972), 109–119. Google Scholar
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