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Matrix construction of subnormal tuples of finite type

✍ Scribed by Jim Gleason

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 111 KB
Volume: 284
Category: Article
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00366-4

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✦ Synopsis

We review Xia's analytic model for subnormal tuples of operators as well as a matricial decomposition of pure subnormal tuples of Eschmeier and Putinar. Based on these developments we create a matricial construction of pure subnormal tuples of finite type from the Xia unitary invariants. In the process we develop necessary and sufficient conditions for sets of operators {C j 0 , D j 1 } to be the Xia invariants of a subnormal tuple.

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