A rigidity theorem for holomorphic generators on the Hilbert ball

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dc.creatorElin, Mark
dc.creatorLevenshtein, Marina
dc.creatorReich, Simeon
dc.creatorShoikhet, David
dc.date2007-08-21
dc.date.accessioned2026-07-07T08:24:46Z
dc.date.available2026-07-07T08:24:46Z
dc.descriptionWe present a rigidity property of holomorphic generators on the open unit ball $\mathbb{B}$ of a Hilbert space $H$. Namely, if $f\in\Hol (\mathbb{B},H)$ is the generator of a one-parameter continuous semigroup ${F_t}_{t\geq 0}$ on $\mathbb{B}$ such that for some boundary point $τ\in \partial\mathbb{B}$, the admissible limit $K$-$\lim\limits_{z\toτ}\frac{f(x)}{\|x-τ\|^{3}}=0$, then $f$ vanishes identically on $\mathbb{B}$.
dc.identifierhttps://arxiv.org/abs/0708.2899
dc.identifierhttp://arxiv.org/abs/0708.2899
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136453
dc.subjectComplex Variables
dc.titleA rigidity theorem for holomorphic generators on the Hilbert ball
dc.typetext

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