✦ LIBER ✦
On Automatic Continuity and Three Problems of “The Scottish Book” Concerning the Boundedness of Polynomial Functionals
✍ Scribed by Anatolij Plichko; Andriy Zagorodnyuk
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 201 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we introduce and study the notions of isotropic mapping and essential kernel. In addition some theorems on the Borel graph and Baire mapping for polynomial operators are proved. It is shown that a polynomial functional from an infinite dimensional complex linear space into the field of complex numbers vanishes on some infinite dimensional affine subspace.