Please use this identifier to cite or link to this item:
doi:10.22028/D291-26302
Title: | On the reflexivity of multivariable isometries |
Author(s): | Eschmeier, Jörg |
Language: | English |
Year of Publication: | 2005 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | Let A\subsetC(K) be a unital closed subalgebra of the algebra of all continuous functions on a compact set K in \mathbb{C}^{n}. We define the notion of an A-isometry and show that, under a suitable regularity condition needed to apply Aleksandrov's work on the inner function problem, every A-isometry T\in L(\mathcal{H})^{n} is reflexive. This result applies to commuting isometries, spherical isometries, and more general, to all subnormal tuples with normal spectrum contained in the Bergman-Shilov boundary of a strictly pseudoconvex or bounded symmetric domain. |
Link to this record: | urn:nbn:de:bsz:291-scidok-44893 hdl:20.500.11880/26358 http://dx.doi.org/10.22028/D291-26302 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 125 |
Date of registration: | 15-Feb-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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preprint_125_05.pdf | 136,05 kB | Adobe PDF | View/Open |
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