| Title:
|
On the equality of injective and projective tensor products (English) |
| Author:
|
Jarchow, Hans |
| Author:
|
John, Kamil |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
1988 |
| Pages:
|
464-472 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A12 |
| MSC:
|
46M05 |
| MSC:
|
47D30 |
| idZBL:
|
Zbl 0674.46044 |
| idMR:
|
MR950300 |
| DOI:
|
10.21136/CMJ.1988.102242 |
| . |
| Date available:
|
2008-06-09T15:22:33Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102242 |
| . |
| Reference:
|
[1] A. Grothendieck: Produits tensoriels topologiques et espaces nucléaires.Mem. Amer. Math. Soc. 16, 1955. Zbl 0123.30301, MR 0075539 |
| Reference:
|
[2] S. Heinrich: Closed operator ideals and interpolation.Journ. of Funct. Anal. 35 (1980) 397-411. Zbl 0439.47029, MR 0563562, 10.1016/0022-1236(80)90089-0 |
| Reference:
|
[3] H. Jarchow: Locally Convex Spaces.Teubner-Verlag, Stuttgart 1981. Zbl 0466.46001, MR 0632257 |
| Reference:
|
[4] H. Jarchow: On Hilbert-Schmidt spaces.Rend. Circ. Mat. Palermo (Suppl.) II (2) (1982) 153-160. Zbl 0503.46014, MR 0683777 |
| Reference:
|
[5] H. Jarchow: Remarks on a characterization of nuclearity.Arch. Math. 43 (1984) 469-472. Zbl 0537.46008, MR 0773196, 10.1007/BF01193856 |
| Reference:
|
[6] H. Jarchow U. Matter: Weakly compact operators on ${\scr C}(K)$-spaces.Lect. Notes in Math. 1166(1985) 80-88. MR 0827762 |
| Reference:
|
[7] K. John: Tensor products and nuclearity.Lect. Notes in Math. 991 (1983) 124-129. Zbl 0518.46054, MR 0714179, 10.1007/BFb0061564 |
| Reference:
|
[8] K. John: Counterexample to a conjecture of Grothendieck.Math. Ann. 265 (1983) 169-179. Zbl 0506.46053, MR 0719135, 10.1007/BF01460797 |
| Reference:
|
[9] K. John H. Junek: A tensor product characterization of nuclear spaces.Wiss. Z. Pädag. Hochsch. Potsdam 25 (1981) 785-789. MR 0708262 |
| Reference:
|
[10] M. I. Kadec A. Pelczyński: Bases, lacunary sequences and complemented subspaces in the spaces $L\sb{p}$.Studia Math. 21 (1962) 161-176. MR 0152879 |
| Reference:
|
[11] H. König J. R. Retherford N. Tomczak-Jaegermann: On the eigenvalues of $(p, 2)$-summing operators and constants associated with normed spaces.Journ. of Funct. Anal. 37 (1980) 88-126. MR 0576647, 10.1016/0022-1236(80)90029-4 |
| Reference:
|
[12] J. Lindenstrauss L. Tzafriri: Classical Banach Spaces I, II.Springer-Verlag, Berlin- Heidelberg-New York 1977, 1979. MR 0500056 |
| Reference:
|
[13] A. Pelczyński: On strictly singular and strictly cosingular operators I, II.Bull. Acad. Polon. Sci. 13(1965) 31-36, 37-41. |
| Reference:
|
[14] A. Pietsch: Nuclear Locally Convex Spaces.(3rd ed.) Springer-Verlag, Berlin-Heidelberg- New York 1972. Zbl 0308.47024, MR 0350360 |
| Reference:
|
[15] A. Pietsch: Operator Ideals.VEB Deutscher Verl. d. Wissensch., Berlin 1978; North-Holland, Amsterdam-Oxford-New York 1980. Zbl 0405.47027, MR 0582655 |
| Reference:
|
[16] G. Pisier: Estimations des distances à un espace euclidien et des constantes de projections des espaces de Banach de dimension finie; d'après H. König et al.Séminaire d'Analyse Fonctionelle, Ecole Polytechnique Palaiseau 1978-1979, Exp. X. MR 0557370 |
| Reference:
|
[17] G. Pisier: Un théorème sur les opérateurs entre espaces de Banach qui se factorisent par un espace de Hilbert.Annales de l'E.N.S. 13 (1980) 23-43. MR 0584081 |
| Reference:
|
[18] G. Pisier: Holomorphic semigroups and the theory of Banach spaces.Annals of Math. 115 (1982) 375-392. MR 0647811, 10.2307/1971396 |
| Reference:
|
[19] G. Pisier: K-convexity.Proc. Res. Workshop on Banach Space Theory 1981. Univ. of Iowa Press (1982). |
| Reference:
|
[20] G. Pisier: Counterexamples to a conjecture of Grothendieck.Acta Math. 151 (1983) 181-208. Zbl 0542.46038, MR 0723009, 10.1007/BF02393206 |
| Reference:
|
[21] G. Pisier: Factorization of Linear Operators and Geometry of Banach Spaces.Amer. Math. Soc., CBMS Regional Conf. Series, 60,1986. Zbl 0588.46010, MR 0829919 |
| Reference:
|
[22] H. P. Rosenthal: On subspaces of $L\sp{p}$.Annals of Math. 97 (1973) 344-373. MR 0312222, 10.2307/1970850 |
| . |
