A note on natural tensor products containing complemented copies of c 0
López Molina, J. A. ; Rivera, M. J.
Rendiconti del Seminario Matematico della Università di Padova, Tome 96 (1996), p. 105-113 / Harvested from Numdam
Publié le : 1996-01-01
@article{RSMUP_1996__96__105_0,
     author = {L\'opez Molina, J. A. and Rivera, M. J.},
     title = {A note on natural tensor products containing complemented copies of $c\_0$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {96},
     year = {1996},
     pages = {105-113},
     mrnumber = {1438291},
     zbl = {0893.46005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1996__96__105_0}
}
López Molina, J. A.; Rivera, M. J. A note on natural tensor products containing complemented copies of $c_0$. Rendiconti del Seminario Matematico della Università di Padova, Tome 96 (1996) pp. 105-113. http://gdmltest.u-ga.fr/item/RSMUP_1996__96__105_0/

[1] C.D. Aliprantis - O. Burkinshaw, Positive Operators, Academic Press, New York, London (1985). | MR 809372 | Zbl 0608.47039

[2] A.V. Bukhvalov, Spaces of vector-valued functions and tensor products, Sib. Mat. Zh., 16, 6 (1972), pp. 1229-1238. | MR 358342 | Zbl 0253.46081

[3] A.V. Bukhvalov - A.I. Veksler - V.A. Geiler, Normed lattices, J. Soviet Math., 18 (1982), pp. 516-551. | Zbl 0478.46018

[4] P. Cembranos, C(K, E) contains a complemented copy of c 0, Proc. Amer. Math. Soc., 91 (1984), pp. 556-558. | MR 746089 | Zbl 0604.46040

[5] J. Chaney, Banach lattices of compact maps, Math. Z., 129 (1972), pp. 1-19. | MR 312329 | Zbl 0231.46020

[6] S. Díaz, Complemented copies of c0 in L∞ (μ, E), Proc. Amer. Math. Soc., 120, 4 (1994), pp. 1167-1172. | Zbl 0801.46009

[7] G. Emmanuele, On complemented copies of c0 in Lp, 1 ≤ p < ∞, Proc. Amer. Math. Soc., 104 (1988), pp. 785-786. | Zbl 0692.46016

[9] W. Hensgen, Some properties of the vector-valued Banach ideal space E(X) derived from those of E and X, Collect. Math., 43, 1 (1992), pp. 1-13. | MR 1214219 | Zbl 0782.46037

[10] H. Jarchow, Locally Convex Spaces, B. G. Teubner, Stuttgart (1981). | MR 632257 | Zbl 0466.46001

[11] V. L. Levin, Tensor products and functors in categories of Banach spaces defined by KB-lineals, Trans. Moscow Math. Soc., 20 (1969), pp. 41-77. | MR 254572 | Zbl 0229.46057

[12] J. Lindenstrauss - L. TZAFRIRI, Classical Banach Spaces. - I: Sequence Spaces, Springer-Verlag, Berlin, Heidelberg, New York (1977). | MR 500056 | Zbl 0362.46013

[13] H.P. Lotz, Extensions and liftings of positive linear mappings on Banach lattices, Trans. Amer. Mat. Soc., 211 (1975), pp. 85-100. | MR 383141 | Zbl 0351.47005

[14] E. Saab - P. Saab, On complemented copies of c0 in injective tensor products, Contemp. Math., 52 (1986), pp. 131-135. | MR 840704 | Zbl 0589.46057

[15] P. Saphar, Produits tensoriels d'espaces de Banach et classes d'applications linéaires, Studia Math., 38 (1970), pp. 71-100. | MR 275121 | Zbl 0213.14201