Complementation and embeddings of c0(I) in Banach spaces

Proceedings of the London Mathematical Society

Volumn 85, Issue 3, 2002, Pages 742-768

  Argyros, Spiros A ^a   Castillo, Jesús F ^b   Granero, Antonio S ^c   Jiménez, Mar ^c   Moreno, José P ^d  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF EXTREMADURA   (Spain)

^c UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^d UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036853395     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611502013618     Document Type: Conference Paper

References (29)

1. D. Amir and J. Lindenstrauss, 'The structure of weakly compact sets in Banach spaces', Ann. of Math. 88 (1968) 35-46.
2. S. Argyros, S. Mercourakis and S. Negrepontis, 'Functional-analytic properties of Corson compact spaces', Studia Math. 89 (1988) 197-229.
3. p-spaces, Lecture Notes in Mathematics 889 (Springer, Berlin, 1981).
4. W.W. Comfort and S. Negrepontis, The theory of ultrafilters (Springer, Berlin, 1974).
5. R. Deville and G. Godefroy, 'Some applications of projective resolutions of identity', Proc. London Math. Soc. (3) 67 (1993) 183-199.
6. R. Deville, G. Godefroy and V. Zizler, Smoothness and renormings in Banach spaces, Pitman Monographs and Surveys in Pure and Applied Mathematics 64 (Longman Scientific and Technical, Harlow, 1993).
7. S. Ditor, 'On a lemma of Milutin concerning averaging operators in continuous function spaces', Trans. Amer. Math. Soc. 149 (1970) 443-452.
8. 1', Ann. of Math. (2) 102 (1975) 463-474.
9. P. Erdös, A. Hajnal and R. Rado, 'Partition relations for cardinal numbers', Acta Math. Acad. Sci. Hungar. 16 (1965) 93-196.
10. M. Fabian, Gâteaux differentiability of convex functions and topology. Weak Asplund Spaces, Canadian Mathematical Society Series of Monographs and Advanced Texts (Wiley-Interscience, New York, 1997).
11. 0(I)', Atti Sem. Mat. Fis. Univ. Módena XLVI (1998) 35-36.
12. A. Grothendieck, 'Sur les applications linéaires faiblement compactes d'espaces de type C(K)', Canad. J. Math. 5 (1953) 129-173.
13. 1-spaces and injective bidual Banach spaces', Israel J. Math. 31 (1978) 142-152.
14. R.C. James, 'Uniformly non-square Banach spaces', Ann. of Math. (2) 80 (1964) 542-550.
15. I. Juhász, Cardinal functions in topology, Mathematical Centre Tract 34 (Mathematisch Centrum, Amsterdam, 1970).
16. J. Kupka, 'A short proof and generalization of a measure theoretic disjointization lemma', Proc. Amer. Math. Soc. 45 (1974) 70-72.
17. A. Pelczynski, 'Projections in certain Banach spaces', Studia Math. 19 (1960) 209-228.
18. R.S. Phillips, 'On linear transformations', Trans. Amer. Math. Soc. 48 (1940) 516-541.
19. S. Piccard, 'Sur un problème de M. Ruziewicz de la théorie des relations', Fund. Math. 29 (1937) 5-9.
20. ∞(μ) for finite measures μ', Acta. Math. 124 (1970) 205-248.
21. H.P. Rosenthal, 'On relatively disjoint families of measures with some applications to Banach spaces theory', Studia Math. 37 (1970) 13-36.
22. p(μ)', Bull. Amer. Math. Soc. 81 (1975) 763-781.
23. 0', Bull. Amer. Math. Soc. 47 (1941) 938-947.
24. W.A. Veech, 'A short proof of Sobczyk theorem', Proc. Amer. Math. Soc. 28 (1971) 627-628.
25. R.C. Walker, The Stone-Cech compactification (Springer, Berlin, 1974).
26. 0', Amer. Math. Monthly 73 (1966) 285-286.
27. M. Zippin, 'The separable extension problem', Israel J. Math. 26 (1977) 372-387.
28. M. Zippin, 'The embedding of Banach spaces into spaces with structure', Illinois J. Math. 34 (1990) 586-606.
29. M. Zippin, 'A global approach to certain operator extension problems', Functional analysis (ed. E. Odell and H. Rosenthal), Lecture Notes in Mathematics 1470 (Springer, New York, 1991) 78-84.