Cowen-Douglas Operator and Shift on Basis
Functional Analysis
2016-04-08 v1
Abstract
In this paper we show a Cowen-Douglas operator is the adjoint operator of some backward shift on a general basis by choosing nice cross-sections of its complex bundle . Using the basis theory model, we show that a Cowen-Douglas operator never be a shift on some Markushevicz basis for .
Keywords
Cite
@article{arxiv.1604.01862,
title = {Cowen-Douglas Operator and Shift on Basis},
author = {Juexian Li and Geng Tian and Yang Cao},
journal= {arXiv preprint arXiv:1604.01862},
year = {2016}
}