The zero-product problem for Toeplitz operators with radial symbols

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dc.creatorLe, Trieu
dc.date2007-12-02
dc.date.accessioned2026-07-07T08:46:48Z
dc.date.available2026-07-07T08:46:48Z
dc.descriptionFor any bounded measurable function $f$ on the unit ball $B_n$, let $T_f$ be the Toeplitz operator with symbol $f$ acting on the Bergman space $A^2(B_n)$. The Zero-Product Problem asks: if $f_1,..., f_N$ are bounded measurable functions such that $T_{f_1}... T_{f_N}=0$, does it follow that one of the functions must be zero almost everywhere? This paper give the affirmative answer to this question when all except possibly one of the symbols are radial functions. The answer in the general case remains unknown.
dc.description6 papes
dc.identifierhttps://arxiv.org/abs/0712.0167
dc.identifierhttp://arxiv.org/abs/0712.0167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143376
dc.subjectFunctional Analysis
dc.subject47B35
dc.titleThe zero-product problem for Toeplitz operators with radial symbols
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