摘要

Let M-phi be the operator of multiplication by phi on a Hilbert space of functions analytic on the open unit disk. For an invariant subspace F for the multiplication operator M-z, we derive some spectral properties of the multiplication operator M-phi : F -> F. We characterize norm, spectrum, essential norm and essential spectrum of such operators when F has the codimension n property with n is an element of {1, 2, ... , +infinity}.

  • 出版日期2013-9