On the controlled separable projection property for some C(K) spaces

Acta Mathematica Hungarica

Volumn 124, Issue 1, 2009, Pages 145-154

  Ferrer, J ^a  

^a UNIVERSITY OF VALENCIA   (Spain)

Author keywords

Controlled separable projection property; Mr wka compact; Scattered compacta

Indexed keywords

EID: 70349667313     PISSN: 02365294     EISSN: 15882632     Source Type: Journal    
DOI: 10.1007/s10474-009-8165-3     Document Type: Article

References (12)

1. S. Argyros, S. Mercourakis and S. Negrepontis, Functional analytic properties of Corson-compact spaces, Studia Math., 89 (1988), 197-229.
2. R. M. Aron, C. Boyd, R. A. Ryan and I. Zalduendo, Zeros of polynomials on Banach spaces: the real story, Positivity, 7 (2003), 285-295.
3. T. Banakh, A. Plichko and A. Zagorodnyuk, Zeros of quadratic functionals on non-separable spaces, Colloq. Math., 100 (2004), 141-147.
4. R. Deville, G. Godefroy and V. Zizler, Smoothness and Renormings in Banach Spaces, Pitman Monographs and Surveys in Pure and Applied Math., 64, Longman Sci. and Tech. (Harlow, 1993).
5. A. Dow and P. Simon, Spaces of continuous functions on a ψ-space, Top. Appl., 153 (2006), 2260-2270.
6. J. Ferrer, On the zero-set of real polynomials in non-separable Banach spaces, Publ. of R.I.M.S., 43 (2007), 685-697.
7. J. Ferrer, Zeroes of real polynomials on C(K) spaces, J. Math. Anal. Appl., 336 (2007), 788-796.
8. J. Ferrer, A note on zeroes of real polynomials in C(K) spaces, Proc. Amer. Math. Soc., 137 (2009), 573-577.
9. L. Gillman and M. Jerison, Rings of Continuous Functions, van Nostrand Publishing Co. (Princeton, New Jersey, 1960).
10. M. Hrusák, P. J. Szeptycki and A. Tamariz-Mascarúa, Spaces of continuous functions defined on Mrówka spaces, Top. Appl., 148 (2005), 239-252.
11. G. J. O. Jameson, Topology and Normed spaces, Chapman and Hall Ltd. (London, 1974).
12. ∞ theorem of Bessaga and Pelczynski, Bull. Polish Acad. Sci. Math., 50 (2002), 373-382.