On geometric extension of polynomials on Banach spaces

N.B. Verkalets; A.V. Zagorodnyuk

doi:10.15330/cmp.5.2.196-198

On geometric extension of polynomials on Banach spaces

Authors

N.B. Verkalets Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
A.V. Zagorodnyuk Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine

https://doi.org/10.15330/cmp.5.2.196-198

Keywords:

homogeneous polynomials on Banach spaces, zeros of polynomials, Aron-Berner extension

Published online: 2013-12-30

Abstract

We consider some questions related to Aron-Berner extensions of polynomials on infinitely dimensional complex Banach spaces, using natural extensions of their zeros.