"Commutators on Fock spaces"Cerejeiras, PaulaWe consider pairs of weighted shift operators on a weighted $l^2$ space with weights associated with an entire function. When considered as operators over a general Fock space the commutators of these pairs of weighted shift operators are diagonal operators. We establish a calculus for the algebra of these commutators. As examples, we present the general case of Gelfond-Leontiev derivatives. This construction allows us to establish a general framework, which goes beyond the classic Weyl-Heisenberg algebra. This is a joint work with D. Alpay and T. Kling |
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