Lipschitz symmetric functions on Banach spaces with symmetric bases

Lipschitz symmetric functions on Banach spaces with symmetric bases

We investigate Lipschitz symmetric functions on a Banach space $X$ with a symmetric basis. We consider power symmetric polynomials on $\ell_1$ and show that they are Lipschitz on the unbounded subset consisting of vectors $x\in \ell_1$ such that $|x_n|\le 1.$ Using functions $\max$ and $\min$ and tr...

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Bibliographic Details
Main Authors: M.V. Martsinkiv, S.I. Vasylyshyn, T.V. Vasylyshyn, A.V. Zagorodnyuk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2021-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
lipschitz symmetric function on banach space
symmetric basis
tropical polynomial
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/5568

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