An example of infinite dimensional reflexive space non-isomorphic to its cartesian square
Colloque d'analyse fonctionnelle (Bordeaux, 1971), Mémoires de la Société Mathématique de France, no. 31-32 (1972), pp. 165-167.
@incollection{MSMF_1972__31-32__165_0,
     author = {Figiel, Tadeusz},
     title = {An example of infinite dimensional reflexive space non-isomorphic to its cartesian square},
     booktitle = {Colloque d'analyse fonctionnelle (Bordeaux, 1971)},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     pages = {165--167},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {31-32},
     year = {1972},
     doi = {10.24033/msmf.79},
     mrnumber = {50 #8018},
     zbl = {0243.46024},
     url = {http://archive.numdam.org/articles/10.24033/msmf.79/}
}
TY  - CHAP
AU  - Figiel, Tadeusz
TI  - An example of infinite dimensional reflexive space non-isomorphic to its cartesian square
BT  - Colloque d'analyse fonctionnelle (Bordeaux, 1971)
AU  - Collectif
T3  - Mémoires de la Société Mathématique de France
PY  - 1972
SP  - 165
EP  - 167
IS  - 31-32
PB  - Société mathématique de France
UR  - http://archive.numdam.org/articles/10.24033/msmf.79/
DO  - 10.24033/msmf.79
ID  - MSMF_1972__31-32__165_0
ER  - 
%0 Book Section
%A Figiel, Tadeusz
%T An example of infinite dimensional reflexive space non-isomorphic to its cartesian square
%B Colloque d'analyse fonctionnelle (Bordeaux, 1971)
%A Collectif
%S Mémoires de la Société Mathématique de France
%D 1972
%P 165-167
%N 31-32
%I Société mathématique de France
%U http://archive.numdam.org/articles/10.24033/msmf.79/
%R 10.24033/msmf.79
%F MSMF_1972__31-32__165_0
Figiel, Tadeusz. An example of infinite dimensional reflexive space non-isomorphic to its cartesian square, dans Colloque d'analyse fonctionnelle (Bordeaux, 1971), Mémoires de la Société Mathématique de France, no. 31-32 (1972), pp. 165-167. doi : 10.24033/msmf.79. http://archive.numdam.org/articles/10.24033/msmf.79/

[1] Anderson (R.D.), Chapman (T.), and Schori (R.M.). - Problems in the topology of infinite-dimensional spaces and manifolds, Amsterdam 1971. | Zbl

[2] Banach (S.). - Théorie des opérations linéaires. Monografje Matematyczne, Warsaw, 1932. | JFM | Zbl

[3] Bessaga (C.) and Pelczynski (A.). - On bases and unconditional convergence of series in Banach spaces, Studia Math. 17, (1958), p. 151-169. | MR | Zbl

[4] Bessaga (C.) and Pelczynski (A.). - Banach spaces non-isomorphic to their Cartesian squares I, Bull. Acad. Polon. Sci., sér. sci. math., astr. et phys. 8 (1960), p. 77-80. | MR | Zbl

[5] Day (M.M.). - Some more uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), p. 504-507. | JFM | MR | Zbl

[6] Figiel (T.). - An example of infinite dimensional reflexive Banach space non-isomorphic to its Cartesian square, Studia Math., to appear. | Zbl

[7] Kadec (M.I.) and Pelczynski (A.). - Bases, lacunary sequences and complemented subspaces in the spaces Lp' Studia Math. 21 (1962), p. 161-176. | MR | Zbl

[8] Semadeni (Z.). - Banach spaces non-isomorphic to their Cartesian squares II, Bull. Acad. Polon. Sci., sér. sci. math., astr. et phys. 8 (1960), p. 81-86. | MR | Zbl

Cité par Sources :