Reconstruction of the Berger measure when the core is of tensor form

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dc.creatorCurto, Raul E.
dc.creatorLee, Sang Hoon
dc.creatorYoon, Jasang
dc.date2007-10-22
dc.date.accessioned2026-07-07T08:37:42Z
dc.date.available2026-07-07T08:37:42Z
dc.descriptionLet $\mathfrak{H}_{0}$ denote the class of commuting pairs of subnormal operators on Hilbert space, and let $\mathcal{TC}:=\{\mathbf{T}\in \mathfrak{% H}_{0}:c(\mathbf{T)}$ is of tensor form$\}$, where $c(\mathbf{T})$ is the core of $\mathbf{T}$. We obtain a concrete necessary and sufficient condition for the subnormality of $\mathbf{T}\equiv (T_{1},T_{2})\in \mathcal{TC}$ in terms of $c(\mathbf{T})$, the marginal measures of $T_{1}$ and $T_{2}$, and the weight $α_{01}$.
dc.descriptionBibl. Rev. Mat. Iberoamericana, to appear; 11 pp. in preprint form
dc.identifierhttps://arxiv.org/abs/0710.3977
dc.identifierhttp://arxiv.org/abs/0710.3977
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140490
dc.subjectFunctional Analysis
dc.subject47B20, 47B37, 47A13, 28A50 (Primary) 44A60, 47-04, 47A20 (Secondary)
dc.titleReconstruction of the Berger measure when the core is of tensor form
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