Geodesic
On the multiplication operators on spaces of analytic functions
B. Yousefi 1   ; S. Foroutan 1
1 Department of Mathematics College of Sciences Shiraz University Shiraz 71454, Iran
Studia Mathematica, Tome 168 (2005) no. 2, pp. 187-191 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider Hilbert spaces of analytic functions on a plane domain ${\mit \Omega }$ and multiplication operators on such spaces induced by functions from $H^{\infty }({\mit \Omega })$. Recently, K. Zhu has given conditions under which the adjoints of multiplication operators on Hilbert spaces of analytic functions belong to the Cowen–Douglas classes. In this paper, we provide some sufficient conditions which give the converse of the main result obtained by K. Zhu. We also characterize the commutant of certain multiplication operators.
DOI : 10.4064/sm168-2-8
Keywords: consider hilbert spaces analytic functions plane domain mit omega multiplication operators spaces induced functions infty mit omega recently zhu has given conditions under which adjoints multiplication operators hilbert spaces analytic functions belong cowen douglas classes paper provide sufficient conditions which converse main result obtained zhu characterize commutant certain multiplication operators

B. Yousefi  1   ; S. Foroutan  1

1 Department of Mathematics College of Sciences Shiraz University Shiraz 71454, Iran 
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B. Yousefi; S. Foroutan. On the multiplication operators on spaces
  of analytic functions. Studia Mathematica, Tome 168 (2005) no. 2, pp. 187-191. doi: 10.4064/sm168-2-8

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