Analytic Models for Commuting Operator Tuples on Bounded Symmetric Domains

0175420 - MU-W 20030174 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/00/0208; GA AV ČR IAA1019005
Výzkumný záměr: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Klíčová slova: coanalytic models * reproducing kernels * bounded symmetric domains
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.807, rok: 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.......
Trvalý link: http://hdl.handle.net/11104/0072403