논문KCI 등재
On the commutant of multiplication operators with analytic polynomial symbols
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Abstract
LetB be a certain Banach space consisting of analytic func-tions dened on a bounded domain G in the complex plane. Let ' be ananalytic polynomial or a rational function and let M ' denote the operatorof multiplication by '. Under certain condition on ' and G, we charac-terize the commutant ofM ' that is the set of all bounded operators Tsuch that TM' = M ' T. We show that T = M Ψ for some function Ψ inB.
참고문헌 (9)
- "Commuting Toeplitz operators with harmonic symbols" (1991)
- "Commutants of analytic Toeplitz operators onthe Bergman space", 128(7), pp.1951~1953 (2000)
- "Commutants of Toeplitz operators on the Bergman space" (1994)
- "Commutants of Toeplitz operators on the ball and annulus", 37(3), pp.303~309 (1995)
- "On the commutant of operators of multiplication byunivalent functions", 129(8), pp.2379~2383 (2001)
- "On the commutant of multiplication operators with analytic symbols", 33(3), pp.1049~1056 (2003)
- Richter, "Invariant subspaces in Banach spaces of analytic functions" (1987)
- A, "The commutants of certain Hilbert space operators", 1971 (1970), ~[DOI]
- Thomson, "The commutants of certain analytic Toeplitz operators" (1976)
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