We prove that the product of finitely many Toeplitz operators on the Hardy space is zero if and only if at least one of the operators is zero. We use some new vector-valued techniques that not only lead to a vector-valued version of this result but also appear to be needed in the scalar case
Duke Math. J.
148(3):
373-403
(15 June 2009).
DOI: 10.1215/00127094-2009-029
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