Article ID Journal Published Year Pages File Type
4663879 Acta Mathematica Scientia 2013 8 Pages PDF
Abstract

Let Mφ be the operator of multiplication by φ on a Hilbert space of functions analytic on the open unit disk. For an invariant subspace F for the multiplication operator Mz, we derive some spectral properties of the multiplication operator Mφ : F → F. We characterize norm, spectrum, essential norm and essential spectrum of such operators when F has the codimension n property with n ∈ {1, 2, …, + ∞}.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)