On a problem concerning the Banach algebra generated by the maps n\mapsto\lambda^{\binom{n}{k}} |
| |
Authors: | A Jabbari |
| |
Institution: | 1. Department of Mathematics, University of Kerman, P.O. Box 76135-133, Kerman, Iran
|
| |
Abstract: | In Jabbari and Namioka (Milan J. Math. 78:503?C522, 2010), the authors characterized the spectrum M(W) of the Weyl algebra W, i.e. the norm closure of the algebra generated by the family of functions $\{n\mapsto x^{n^{k}}; x\in\mathbb{T}, k\in\mathbb{N}\}$ , ( $\mathbb{T}$ the unit circle), with a closed subgroup of $E(\mathbb{T})^{\mathbb{N}}$ where $E(\mathbb{T})$ denotes the family of the endomorphisms of the multiplicative group $\mathbb{T}$ . But the size of M(W) in $E(\mathbb{T})^{\mathbb{N}}$ as well as the induced group operation were left as a problem. In this paper, we will give a solution to this problem. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|