Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663879 | Acta Mathematica Scientia | 2013 | 8 Pages |
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, …, + ∞}.
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