Some Problems in Operator Theory on Bounded Symmetric Domains |
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Authors: | M Engliš |
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Institution: | (1) Mathematics Institute AV CR, Zitna 25, 11567 Prague 1, Czech Republic |
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Abstract: | We discuss some problems concerning the operators K
m
(Z,Z
*), where K
m
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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Keywords: | operator model Cartan domain curvature invariant |
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