Multiplication Operators with Adjoint of Cowen-Douglas Class Operator

Parastoo Heiatian Naeini, Bahmann Yousefi, Rahmat Soltani


We will consider multiplication operators on Hilbert spaces of analyticfunctions on a domain  $\omega \subset \cmark $. We determine the commutants of certainmultiplication operators with adjoints in a Cowen-Douglas class operator.


Hilbert space of analytic functions, commutant, Cowen-Douglas class of operators, Fredholm Alternative Theorem.

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