Pták's characterization of reflexivity in tensor products
Czechoslovak Mathematical Journal (2006)
- Volume: 56, Issue: 3, page 923-931
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topJohn, Kamil. "Pták's characterization of reflexivity in tensor products." Czechoslovak Mathematical Journal 56.3 (2006): 923-931. <http://eudml.org/doc/31078>.
@article{John2006,
abstract = {We characterize the reflexivity of the completed projective tensor products $X\{\widetilde\{\otimes \}_\pi \} Y$ of Banach spaces in terms of certain approximative biorthogonal systems.},
author = {John, Kamil},
journal = {Czechoslovak Mathematical Journal},
keywords = {reflexive Banach space; biorthogonal system; $\pi $-tensor product; reflexive Banach space; biorthogonal system; -tensor product},
language = {eng},
number = {3},
pages = {923-931},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Pták's characterization of reflexivity in tensor products},
url = {http://eudml.org/doc/31078},
volume = {56},
year = {2006},
}
TY - JOUR
AU - John, Kamil
TI - Pták's characterization of reflexivity in tensor products
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 3
SP - 923
EP - 931
AB - We characterize the reflexivity of the completed projective tensor products $X{\widetilde{\otimes }_\pi } Y$ of Banach spaces in terms of certain approximative biorthogonal systems.
LA - eng
KW - reflexive Banach space; biorthogonal system; $\pi $-tensor product; reflexive Banach space; biorthogonal system; -tensor product
UR - http://eudml.org/doc/31078
ER -
References
top- Sequences and Series in Banach Spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1984. (1984) MR0737004
- Produits tensoriels topologiques et espaces nucléaires, Mem. Am. Math. Soc. 16 (1955). (1955) Zbl0123.30301MR0075539
- On the reflexivity of the Banach space , Funkcional’nyi Analiz i ego Prilozheniya 8 (1974), 97–98. (1974) MR0342991
- Reflexivity of , Proc. Amer. Math. Soc. 39 (1973), 175–177. (1973) Zbl0262.46015MR0315407
- Locally Convex Spaces, Teubner-Verlag, Stuttgart, 1981. (1981) Zbl0466.46001MR0632257
- 10.1007/s10587-005-0054-5, Czechoslovak Math. J 55 (2005), 677–681. (2005) Zbl1081.46017MR2153091DOI10.1007/s10587-005-0054-5
- 10.4064/sm-43-1-77-92, Studia Math. 43 (1972), 77–92. (1972) MR0310598DOI10.4064/sm-43-1-77-92
- Topological Vector Spaces II, Springer-Verlag, Berlin-Heidelberg-New York, 1984. (1984) MR0551623
- 10.4064/sm-21-3-370-374, Studia Math. 21 (1962), 371–374. (1962) MR0146636DOI10.4064/sm-21-3-370-374
- Biorthogonal systems and reflexivity of Banach spaces, Czechoslovak Math. J. 9 (1959), 319–325. (1959) MR0110008
- Reflexivity of , Proc. Amer. Math. Soc. 34 (1972), 171–174. (1972) Zbl0242.46018MR0291777
- Duality and geometry of spaces of compact operators, In: Functional Analysis: Surveys and Recent Results III. Math. Studies 90, North Holland, , 1984. (1984) Zbl0573.46007MR0761373
- 10.4064/sm-21-3-351-369, Studia Math. 21 (1962), 351–369. (1962) Zbl0114.30903MR0146635DOI10.4064/sm-21-3-351-369
- Bases in Banach Spaces, Vol. I, Springer-Verlag, Berlin-Heidelberg-New York, 1970. (1970) MR0298399
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.