Proper holomorphic mappings and the Cowen-Douglas class

Krantz, Steven G.; Salinas, Norberto

doi:10.1090/S0002-9939-1993-1104397-5

Proper holomorphic mappings and the Cowen-Douglas class
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by Steven G. Krantz and Norberto Salinas PDF

Proc. Amer. Math. Soc. 117 (1993), 99-105 Request permission

Abstract:

We study the relationship between intersection theory for analytic varieties and membership of $n$-tuples of Toeplitz operators in the Cowen-Douglas class ${B_m}(\Omega )$. Connections with holomorphic mappings are discussed.

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The Grassmann manifold of a

algebra and Hermitian holomorphic bundles

28

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Non-compactness of the

Neumann problem and Toeplitz

algebras

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