Multiplication Operators with Adjoint of Cowen-Douglas Class Operator

Authors

  • Parastoo Heiatian Naeini
  • Bahmann Yousefi Payame Noor University, Iran
  • Rahmat Soltani

DOI:

https://doi.org/10.30495/jme.v13i0.831

Keywords:

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

Abstract

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.

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Published

2019-04-10

Issue

Section

Vol. 13, No. 3, (2019)