The α -approximation property and the weak topology in tensor products of Banach spaces

Enrique A. Sánchez Pérez

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 97, page 81-88
  • ISSN: 0041-8994

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Sánchez Pérez, Enrique A.. "The $\alpha $-approximation property and the weak topology in tensor products of Banach spaces." Rendiconti del Seminario Matematico della Università di Padova 97 (1997): 81-88. <http://eudml.org/doc/108433>.

@article{SánchezPérez1997,
author = {Sánchez Pérez, Enrique A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {-approximation property; weak topology in tensor products; -density property; maximal operator ideals; tensor norm; Radon-Nikodým property},
language = {eng},
pages = {81-88},
publisher = {Seminario Matematico of the University of Padua},
title = {The $\alpha $-approximation property and the weak topology in tensor products of Banach spaces},
url = {http://eudml.org/doc/108433},
volume = {97},
year = {1997},
}

TY - JOUR
AU - Sánchez Pérez, Enrique A.
TI - The $\alpha $-approximation property and the weak topology in tensor products of Banach spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 97
SP - 81
EP - 88
LA - eng
KW - -approximation property; weak topology in tensor products; -density property; maximal operator ideals; tensor norm; Radon-Nikodým property
UR - http://eudml.org/doc/108433
ER -

References

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  1. [1] A. Defant - K. Floret, Tensor Norms and Operator Ideals, North-Holland Mathematics Studies, 176, Elsevier (1993). Zbl0774.46018MR1209438
  2. [2] J.C. Díaz - J.A. López Molina - M.J. Rivera, The approximation property of order (p, q) in Banach spaces, Collect. Math., 41, 3 (1990), pp. 217-232. Zbl0751.46018MR1163903
  3. [3] S. Heinrich, Weak sequential completeness of Banach operator ideals, Siberian Math. J., 17 (1976), pp. 857-862. Zbl0406.47022MR430869
  4. [4] D.R. Lewis, Conditional weak compactness in certain inductive tensor products, Math. Ann., 201 (1973), pp. 201-209. Zbl0234.46069MR326417
  5. [5] D.R. Lewis, Duals of Tensor Products, Lecture Notes in Math., 604, Springer (1977), pp. 57-66. Zbl0376.46044MR473866
  6. [6] J.T. Marti, Introduction to the Theory of Bases, Springer-Verlag, Berlin (1969). Zbl0191.41301MR438075
  7. [7] M.J. Rivera Ortún, The weak compactness in certain inductive tensor products, Note di Matematica, IX, 2 (1989), pp. 263-266. Zbl0753.46034
  8. [8] H.P. Rosenthal, A characterization of Banach space containing l1, Proc. Nat. Acad. Sci. USA, 71 (1974), pp. 2411-2413. Zbl0297.46013MR358307
  9. [9] P. Saphar, Hypothèse d'approximation à l'ordre p dans les spaces de Banach et approximation d'applications p-absolument sommants, Israel J. Math., 13 (1972), pp. 379-398. Zbl0257.46108MR333675

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