Geodesic
Commutants of certain multiplication operators on Hilbert spaces of analytic functions
Studia Mathematica, Tome 133 (1999) no. 2, pp. 121-130

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This paper characterizes the commutant of certain multiplication operators on Hilbert spaces of analytic functions. Let $A=M_z$ be the operator of multiplication by z on the underlying Hilbert space. We give sufficient conditions for an operator essentially commuting with A and commuting with $A^n$ for some n>1 to be the operator of multiplication by an analytic symbol. This extends a result of Shields and Wallen.
DOI : 10.4064/sm-133-2-121-130
Keywords: commutant, multiplication operators, Hilbert spaces of analytic functions, reproducing kernel 
K Seddighi; S. M. Vaezpour. Commutants of certain multiplication operators on Hilbert spaces of analytic functions. Studia Mathematica, Tome 133 (1999) no. 2, pp. 121-130. doi: 10.4064/sm-133-2-121-130
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