Zeros of real polynomials

Linear and Multilinear Algebra

Volumn 48, Issue 2, 2000, Pages 107-115

  Aron, Richard ^a   Gonzalo, Raquel ^b   Zagorodnyuk, Andriy ^c  

^a KENT STATE UNIVERSITY   (United States)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^c PIDSTRYHACH INSTITUTE FOR APPLIED PROBLEMS OF MECHANICS AND MATHEMATICS   (Ukraine)

Author keywords

Symmetric real polynomials; Zero subspaces of polynomials

Indexed keywords

EID: 0347549561     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Aron, R. M. and Rueda, M. P. (1997). A problem concerning zero-subspaces of homogeneous polynomials, Linear Topological Spaces and Complex Analysis, 3, 20-23.
2. Dineen, S. (1981). Complex analysis in locally convex spaces, North-Holland Mathematics Studies, 57.
3. Gonzalez, M., Gonzalo, R. and Jaramillo, J. A. (1999). Symmetric polynomials on rearrangement invariant function spaces, Jour. London Math. Soc. (2), 59, 681-697.
4. Gunning, R. and Rossi, H., Analytic functions of several complex variables, Prentice-Hall, 1965.
5. Harris, J., Algebraic Geometry, Grad. Texts in Math., 113, Springer-Verlag, 1992.
6. Pestov, V., Two 1935 questions of Mazur about polynomials in Banach spaces: A counter-example, Questiones Mathematicae (to appear).
7. Plichko, A. and Zagorodnyuk, A. (1998). On automatic continuity and three problems of "The Scottish Book" concerning the boundedness of polynomials functionals, J. Math. Anal. App., 220, 477-494.
8. van der Waerden, B. L., Modern Algebra, Ungar, 1964.
9. Zagorodnyuk, A., The zero-subspaces of symmetric polynomials, preprint.