q-deformed Circular Operators |
| |
Authors: | Schôichi Ôta |
| |
Institution: | (1) Department of Art and Information Design, Kyushu University, Fukuoka 815-8540, Japan |
| |
Abstract: | In this paper, q-deformed circularity of an operator in a Hilbert space is introduced and investigated. In particular, the q-deformed circularity of a weighted shift is characterized by an integer, which is uniquely determined by the operator. It
is shown that that the spectrum of a q-deformed circular weighted shift is the whole complex plane. |
| |
Keywords: | 47A05 47A10 47B25 |
本文献已被 SpringerLink 等数据库收录! |
|