Publication: On interpolation of Asplund operators
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2005
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Springer
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Abstract
We study the interpolation properties of Asplund operators by the complex method, as well as by general J - and K-methods.
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1. Asplund, E.: Fr´echet differentiability of convex functions, Acta Math. 121, 31–47
(1968)
2. Bergh, J., L¨ofstr¨om, J.: Interpolation spaces. An introduction. Springer, Berlin, 1976
3. Bourgin, R.D.: Geometric aspects of convex sets with the Radon-Nikod´ym property.
Springer Lect. Notes in Maths. 993, Berlin, 1983
4. Brudnyˇı, Y., Krugljak, N.: Interpolation functors and interpolation spaces. Vol. 1,
North-Holland, Amsterdam, 1991
5. Cobos, F., Cwikel, M., Matos, P.: Best possible compactness results of Lions-Peetre
type. Proc. Edinburgh Math. Soc. 44, 153–172 (2001)
6. Cobos, F., Fern´andez-Cabrera, L.M., Manzano, A., Mart´ınez, A.: Real interpolation
and closed operator ideals. J. Math. Pures et Appl. 83, 417–432 (2004)
7. Cobos, F., Manzano, A., Mart´ınez, A., Matos, P.: On interpolation of strictly singular
operators, strictly cosingular operators and related operator ideals. Proc. Royal Soc.
Edinb. 130A, 971–989 (2000)
8. Cwikel, M., Peetre, J.: Abstract K and J spaces. J. Math. Pures et Appl. 60, 1–50
(1981)
9. Davis, W.J., Figiel, T., Johnson, W.B., Pelczy´nski, A.: Factoring weakly compact
operators. J. Funct. Analysis 17, 311–327 (1974)
10. Diestel, J., Jarchow, H., Tonge, A.: Absolutely summing operators. Cambridge Studies
in Advanced Mathematics, vol. 43, Cambridge Univ. Press, 1995
11. Diestel, J., Ulh, Jr., J.J.,Vector measures.Am.Math. Soc. Surveys No. 15, Providence,
Rhode Island, 1977
On interpolation of Asplund operators 277
12. Edgar, G.A.: Asplund operators and a.e. convergence. J. Multivar. Anal. 10, 460–466
(1980)
13. Fabian, M.J.: Gˆateaux differentiability of convex functions and topology. Weak
Asplund spaces. Canadian Math. Soc. Monographs and Advance Texts, John Wiley
and Sons, Inc., NewYork 1997
14. Giles, J.R.: Convex analysis with applications in differentiation of convex functions.
Research Notes in Math. No. 58, Pitman, Boston, 1982
15. Heinrich, S.: Closed operator ideals and interpolation. J. Funct. Analysis 35, 397–411
(1980)
16. Janson, S.: Minimal and maximal methods of interpolation. J. Funct. Analysis 44,
50–73 (1981)
17. Levy, M.: L’espace d’interpolation r´eel (A0,A1)θ,p contient _p. Compt. Rend. Acad.
Sci. Paris S´er. A 289, 675–677 (1979)
18. Mastylo, M.: Interpolation spaces not containing _1. J. Math. Pures et Appl. 68, 153–
162 (1989)
19. Nilsson, P.: Reiteration theorems for real interpolation and approximation spaces.
Ann. Mat. Pura Appl. 132, 291–330 (1982)
20. Peetre, J.: A theory of interpolation of normed spaces, Lecture Notes, Brasilia, 1963
[Notes Mat. 39, 1–86 (1968)]
21. Peetre, J.: H
∞ and complex interpolation. Technical Report, Lund, 1981
22. Pietsch, A.: Operator ideals. North-Holland, Amsterdam, 1980
23. Reˇınov, O.I.: RN-sets in Banach spaces. Functional Anal. Appl. 12, 63–64 (1978)
24. Stegall, C.: The Radon-Nikod´ym property in conjugate Banach spaces. II. Trans. Am.
Math. Soc. 264, 507–519 (1981)
25. Triebel, H.: Interpolation theory, function spaces, differential operators. North-
Holland, Amsterdam, 1978
26. Zaanen, A.C.: Riesz spaces II. North-Holland, Amsterdam, 1983