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Infinite-dimensional complex projective spaces and complete intersections

Edoardo Ballico (2006)

Mathematica Bohemica

Let V be an infinite-dimensional complex Banach space and X 𝐏 ( V ) a closed analytic subset with finite codimension. We give a condition on X which implies that X is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.

On dense ideals in spaces of analytic functions

Mihai Putinar (1994)

Annales de l'institut Fourier

One proves the density of an ideal of analytic functions into the closure of analytic functions in a L p ( μ ) -space, under some geometric conditions on the support of the measure μ and the zero variety of the ideal.

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