Keywords: reflexive Banach space; biorthogonal system; $\pi $-tensor product
@article{CMJ_2006_56_3_a10,
author = {John, Kamil},
title = {Pt\'ak's characterization of reflexivity in tensor products},
journal = {Czechoslovak Mathematical Journal},
pages = {923--931},
year = {2006},
volume = {56},
number = {3},
mrnumber = {2261664},
zbl = {1164.46308},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a10/}
}
John, Kamil. Pták's characterization of reflexivity in tensor products. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 923-931. http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a10/
[1] J. Diestel: Sequences and Series in Banach Spaces. Springer-Verlag, Berlin-Heidelberg-New York, 1984. | MR
[2] A. Grothendieck: Produits tensoriels topologiques et espaces nucléaires. Mem. Am. Math. Soc. 16 (1955). | MR | Zbl
[3] S. Heinrich: On the reflexivity of the Banach space $L(X,Y)$. Funkcional’nyi Analiz i ego Prilozheniya 8 (1974), 97–98. | MR
[4] J. R. Holub: Reflexivity of $L(E,F)$. Proc. Amer. Math. Soc. 39 (1973), 175–177. | MR | Zbl
[5] H. Jarchow: Locally Convex Spaces. Teubner-Verlag, Stuttgart, 1981. | MR | Zbl
[6] K. John: $w^*$-basic sequences and reflexivity of Banach spaces. Czechoslovak Math. J 55 (2005), 677–681. | DOI | MR | Zbl
[7] W. B. Johnson, H. P. Rosenthal: On w$^*$ basic sequences and their applications to the study of Banach spaces. Studia Math. 43 (1972), 77–92. | DOI | MR
[8] G. Köthe: Topological Vector Spaces II. Springer-Verlag, Berlin-Heidelberg-New York, 1984. | MR
[9] A. Pełczyński: A note on the paper of I. Singer “Basic sequences and reflexivity of Banach spaces”. Studia Math. 21 (1962), 371–374. | DOI | MR
[10] V. Pták: Biorthogonal systems and reflexivity of Banach spaces. Czechoslovak Math. J. 9 (1959), 319–325. | MR
[11] W. Ruckle: Reflexivity of $L(E,F)$. Proc. Amer. Math. Soc. 34 (1972), 171–174. | MR | Zbl
[12] W. Ruess: Duality and geometry of spaces of compact operators. In: Functional Analysis: Surveys and Recent Results III. Math. Studies 90, North Holland, , 1984. | MR | Zbl
[13] I. Singer: Basic sequences and reflexivity of Banach spaces. Studia Math. 21 (1962), 351–369. | DOI | MR | Zbl
[14] I. Singer: Bases in Banach Spaces, Vol. I. Springer-Verlag, Berlin-Heidelberg-New York, 1970. | MR