Two 1935 questions of mazur about polynomials in banach spaces: Counter-examples

Quaestiones Mathematicae

Volumn 23, Issue 2, 2000, Pages 235-240

  Pestov, Vladimir ^a  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

Polynomials in banach spaces; Unbounded sets

Indexed keywords

EID: 57649157714     PISSN: 16073606     EISSN: 1727933X     Source Type: Journal    
DOI: 10.2989/16073600009485972     Document Type: Article

References (5)

1. H. Aüerbaoh, Un théorème sur les polynomes a n variables, Studia Math. 5 (1934), 171-173.
2. J. Bochnak and J. Siciak, Polynomials and multilinear mappings in topological vector spaces, Studia Math 39 (1971), 59-76.
3. R.D. Mauldin (ed.), The Scottish Book, Birkhauser, Boston-Basel-Stuttgart, 1981.
4. V. Pestov, Two 1935 questions of Mazur about polynomials in Banach spaces: a counter-example, Research report RP-97-223, Mathematics, Victoria University of Wellington, and e-print funct-an/9705002, May 1997, 3 pp. (http://front.math.ucdavis.edu/math.FA/9705002)
5. A. Plichko and A. Zagorodnyuk, On automatic continuity and three problems of ‘The Scottish Book’ concerning the boundedness of polynomial functionals, J. Math. Anal. Appl. 220 (1998), 477-494.