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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Operator theoretical realization of some geometric notions

Author: Qing Lin
Journal: Trans. Amer. Math. Soc. 305 (1988), 353-367
MSC: Primary 47A45; Secondary 46M99, 47B35, 58B99
MathSciNet review: 920163
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Abstract: This paper studies the realization of certain geometric constructions in Cowen-Douglas operator class. Through this realization, some operator theoretical phenomena are easily seen from the corresponding geometric phenomena. In particular, we use this technique to solve the first-order equivalence problem and introduce a new operation among certain operators.

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Article copyright: © Copyright 1988 American Mathematical Society

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