Commutants of certain multiplication operators on Hilbert spaces of analytic functions

• Autorzy: K. Seddighi , S. M. Vaezpour
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

commutant; multiplication operators; Hilbert spaces of analytic functions; reproducing kernel

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 133
• Numer: 2
• Strony: 121-130

Daty

wydano

1999

otrzymano

1997-03-24

poprawiono

1998-07-09

poprawiono

1998-10-11

Twórcy

autor

K. Seddighi

• Department of Mathematics, Shiraz University, 71454 Shiraz, Iran,

autor

S. M. Vaezpour

• Department of Mathematics, Shiraz University, 71454 Shiraz, Iran

Bibliografia

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