"The Commutant of the Multi-Shift on Besov Hilbert (Weighted Symmetric Fock) Spaces"
Abstract: The commutant of a set of operators on Hilbert space is the unital algebra of operators on the same Hilbert space that commute with each operator in the set. Sarason in 1967 showed that the commutant of the shift on the Hardy space H^2 of the disc is bounded holomorphic functions viewed as multipliers on H^2. By the work of Shields on weighted shifts in 1974, the commutant of the shift on every Besov Hilbert space F_q on the disc is the multiplier algebra of F-q. We extend this result to the case of the multi-shift on the Besov-Hilbert spaces on the unit ball of C^n.
Date: Wednesday, April 24, 2013
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.