On two statements of “The scottish book” concerning a ring of bounded polynomial functionals on banach spaces

  • A. V. Zagoroclnyuk

Abstract

We prove an infinite-dimensional version of the Hilbert theorem about zeros (according to “The Scottish Book”). We study topological properties of the set of zeros of a continuous polynomial functional and establish necessary and sufficient conditions for this set to cut the space.
Published
25.10.1996
How to Cite
ZagoroclnyukA. V. “On Two Statements of ‘The Scottish book’ Concerning a Ring of Bounded Polynomial Functionals on Banach Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 10, Oct. 1996, pp. 1329-36, https://umj.imath.kiev.ua/index.php/umj/article/view/5218.
Section
Research articles