The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Hypersurfaces of inifnite dimensional Banach spaces, Bertini theorems and embeddings of projective spaces.”

Infinite-dimensional complex projective spaces and complete intersections

Edoardo Ballico (2006)

Mathematica Bohemica

Similarity:

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.

Bounded analytic sets in Banach spaces

Volker Aurich (1986)

Annales de l'institut Fourier

Similarity:

Conditions are given which enable or disable a complex space X to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of X .

Characterization of surjective partial differential operators on spaces of real analytic functions

Michael Langenbruch (2004)

Studia Mathematica

Similarity:

Let A(Ω) denote the real analytic functions defined on an open set Ω ⊂ ℝⁿ. We show that a partial differential operator P(D) with constant coefficients is surjective on A(Ω) if and only if for any relatively compact open ω ⊂ Ω, P(D) admits (shifted) hyperfunction elementary solutions on Ω which are real analytic on ω (and if the equation P(D)f = g, g ∈ A(Ω), may be solved on ω). The latter condition is redundant if the elementary solutions are defined on conv(Ω). This extends and improves...