Commutants of certain multiplication operators on Hilbert spaces of analytic functions
Seddighi, K. ; Vaezpour, S.
Studia Mathematica, Tome 133 (1999), p. 121-130 / Harvested from The Polish Digital Mathematics Library
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This paper characterizes the commutant of certain multiplication operators on Hilbert spaces of analytic functions. Let A=Mz 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 An for some n>1 to be the operator of multiplication by an analytic symbol. This extends a result of Shields and Wallen.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216608 
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Seddighi, K.; Vaezpour, S. Commutants of certain multiplication operators on Hilbert spaces of analytic functions. Studia Mathematica, Tome 133 (1999) pp. 121-130. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i2p121bwm/

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