Some Problems in Operator Theory on Bounded Symmetric Domains

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作者
M. Engliš
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[1] Mathematics Institute AV CR,
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operator model; Cartan domain; curvature invariant;
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摘要
We discuss some problems concerning the operators Km(Z,Z*), where Km is the reproducing kernel of the Peter–Weyl space with signature m and Z stands for the commuting tuple of operators of multiplication by the coordinate variables on a bounded symmetric domain. These problems have applications for construction of operator models, as well as for a possible generalization of the recent dilation theory for row contractions due to Arveson.
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页码:51 / 71
页数:20
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