Numerically hypercyclic polynomials |
| |
Authors: | Sung Guen Kim Alfredo Peris Hyun Gwi Song |
| |
Institution: | 1. Department of Mathematics, Kyungpook National University, Daegu, 702-701, Republic of Korea 2. IUMPA, Universitat Polit??cnica de Val??ncia, Departament de Matem??tica Aplicada, Edifici 7A, 46022, Val??ncia, Spain 3. Department of Mathematics, POSTECH, Pohang, Gyungbuk, 790-784, Republic of Korea
|
| |
Abstract: | In this paper, we show that every complex Banach space X with dimension at least 2 supports a numerically hypercyclic d-homogeneous polynomial P for every ${d\in \mathbb{N}}$ . Moreover, if X is infinite-dimensional, then one can find hypercyclic non-homogeneous polynomials of arbitrary degree which are at the same time numerically hypercyclic. We prove that weighted shift polynomials cannot be numerically hypercyclic neither on c 0 nor on ? p for 1??? p?<???. In contrast, we characterize numerically hypercyclic weighted shift polynomials on ???. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|