MULTIPLICATION OPERATORS ON INVARIANT SUBSPACES OF FUNCTION SPACES

MULTIPLICATION OPERATORS ON INVARIANT

SUBSPACES OF FUNCTION SPACES

B. YOUSEFI;Sh. KHOSHDEL;Y. JAHANSHAHI

【期刊名称】《数学物理学报（英文版）》 【年(卷),期】2013(000)005

【摘要】Let M? be the operator of multiplication by?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 M? :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, · · · ,+∞}. 【总页数】8页(1463-1470) 【关键词】

【作者】B. YOUSEFI;Sh. KHOSHDEL;Y. JAHANSHAHI

【作者单位】Department of Mathematics, Payame Noor University P. 0. Box, 19395-3697, Tehran, Iran;Department of Mathematics, Payame Noor University P. 0. Box, 19395-3697, Tehran, Iran;Department of Mathematics, Payame Noor University P. 0. Box, 19395-3697, Tehran, Iran

【正文语种】英文 【中图分类】 【相关文献】