Operator theoretical realization of some geometric notions

Lin, Qing

doi:10.1090/S0002-9947-1988-0920163-8

Operator theoretical realization of some geometric notions
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by Qing Lin

Trans. Amer. Math. Soc. 305 (1988), 353-367

DOI: https://doi.org/10.1090/S0002-9947-1988-0920163-8

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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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Imbedded operators and geometric tensor product