Analytic Models for Commuting Operator Tuples on Bounded Symmetric Domains

0175420 - MU-W 20030174 RIV US eng J - Journal Article
Arazy, J. - Engliš, Miroslav
Analytic Models for Commuting Operator Tuples on Bounded Symmetric Domains.
American Mathematical Society. Transactions. Roč. 355, č. 2 (2003), s. 837-864. ISSN 0002-9947. E-ISSN 1088-6850
R&D Projects: GA ČR GA201/00/0208; GA AV ČR IAA1019005
Institutional research plan: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Keywords : coanalytic models * reproducing kernels * bounded symmetric domains
Subject RIV: BA - General Mathematics
Impact factor: 0.807, year: 2003

For a domain .omega. in Cd and a Hilbert space .. of analytic functions on .omega. which satisfies certain conditions, we characterize the commuting d-tuples T=(T1,...,Td) of operators on a separable Hilbert space H such that T* is unitarily equivalent to the restriction of M* to an invariant subspace, where M is the operator d-tuple. Z .. I on the Hilbert space tensor product.......
Permanent Link: http://hdl.handle.net/11104/0072403