Cowen-Douglas Operator and Shift on Basis

2016/04/07 by Li, Juexian, Tian, Geng, Cao, Yang
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1604.01862

Abstract

In this paper we show a Cowen-Douglas operator T ∈ B_n(Ω) is the adjoint operator of some backward shift on a general basis by choosing nice cross-sections of its complex bundle E_T. Using the basis theory model, we show that a Cowen-Douglas operator never be a shift on some Markushevicz basis for n ≥ 2.

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