2019
Том 71
№ 11

All Issues

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

Zagoroclnyuk A. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 10, pp 1507-1516.

Citation Example: Zagoroclnyuk A. V. On two statements of “The scottish book” concerning a ring of bounded polynomial functionals on banach spaces // Ukr. Mat. Zh. - 1996. - 48, № 10. - pp. 1329-1336.

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