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Operator Algebras of Idempotents

✍ Scribed by Vern I. Paulsen

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 167 KB
Volume: 181
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2000.3712

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✦ Synopsis

We introduce the concept of a matricial Schur ideal, which serves as a dual object for operator algebras generated by a finite set of idempotents. Using matricial Schur ideals and some factorization theorems for tensor products of operator algebras, we are able to obtain matrix-valued interpolation results for general product domains. These results include and generalize the recent matrix-valued interpolation results on the bidisk.

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