Zeroes of polynomials on ℓ∞

Journal of Mathematical Analysis and Applications

Volumn 324, Issue 2, 2006, Pages 1115-1124

  Fernández Unzueta, Maite ^a  

^a CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

Author keywords

Banach spaces; Polynomials; Zeroes of polynomials

Indexed keywords

EID: 33749516291     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.01.021     Document Type: Article

References (12)

1. Aron R.M., Boyd C., Ryan R.A., and Zalduendo I. Zeros of polynomials on Banach spaces: The real story. Positivity 7 (2003) 285-295
2. Aron R.M., Gonzalo R., and Zagorodnyuk A. Zeros of real polynomials. Linear Multilinear Algebra 48 (2000) 107-115
3. R.M. Aron, P. Hájek, Zero set of polynomials in several variables, Archiv Math., in press
4. Aron R.M., and Rueda M.P. A problem concerning zero-subspaces of homogeneous polynomials. Linear Topol. Spaces Complex Anal. 3 (1997) 20-23
5. Banakh T., Plichko A., and Zagorodnyuk A. Zeros of quadratic functionals on non-separable spaces. Colloq. Math. 100 (2004) 141-147
6. Carothers N.L. A Short Course on Banach Space Theory. London Math. Soc. Stud. Texts vol. 64 (2005), Cambridge Univ. Press
7. Dineen S. Complex Analysis on Infinite Dimensional Spaces (1999), Springer, Berlin
8. J. Ferrer, On the zero-set of real polynomials in non-separable Banach spaces, preprint
9. Lindenstrauss J. On complemented subspaces of m. Israel J. Math. 5 (1967) 153-156
10. Lindenstrauss J., and Tzafriri L. Classical Banach Spaces, vol. I (1977), Springer-Verlag, Berlin
11. Plichko A., and Zagorodnyuk A. On automatic continuity and three problems of "The Scottish Book" concerning the boundedness of polynomial functionals. J. Math. Anal. Appl. 220 (1998) 477-494
12. Ryan R. Introduction to Tensor Products of Banach Spaces. Monogr. Math. (2002), Springer-Verlag