Topological Hilbert Nullstellensatz for Bergman Spaces

Details Topological Hilbert Nullstellensatz for Bergman Spaces Topological Hilbert Nullstellensatz for Bergman Spaces

1996-05-10

arxiv.org/abs/funct-an/9605006v1

Mathematics

Functional Analysis

LATEX

Scientific paper

The results in the paper are related to the classification problem for invariant subspaces of multiplication operators in several variables. The main results consist of characterizations, in the two dimensional case, of ideals of polynomials and analytic functions which are closed in the relative topology induced by Bergman spaces on certain domains. This provides proofs of the Bergman space analogues of a conjecture of R. G. Douglas and V. Paulsen.

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