Acta mathematica scientia, Series B >
MULTIPLICATION OPERATORS ON INVARIANT SUBSPACES OF FUNCTION SPACES
Received date: 2011-03-10
Revised date: 2012-11-12
Online published: 2013-09-20
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, …, +1}.
B. YOUSEFI , Sh. KHOSHDEL , Y. JAHANSHAHI . MULTIPLICATION OPERATORS ON INVARIANT SUBSPACES OF FUNCTION SPACES[J]. Acta mathematica scientia, Series B, 2013 , 33(5) : 1463 -1470 . DOI: 10.1016/S0252-9602(13)60096-X
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