Displaying similar documents to “The use of operators for the construction of normal bases for the space of continuous functions on V q .”

On the weak non-defectivity of veronese embeddings of projective spaces

Edoardo Ballico (2005)

Open Mathematics


Fix integers n, x, k such that n≥3, k>0, x≥4, (n, x)≠(3, 4) and k(n+1)<(nn+x). Here we prove that the order x Veronese embedding ofP n is not weakly (k−1)-defective, i.e. for a general S⊃P n such that #(S) = k+1 the projective space | I 2S (x)| of all degree t hypersurfaces ofP n singular at each point of S has dimension (n/n+x )−1− k(n+1) (proved by Alexander and Hirschowitz) and a general F∈| I 2S (x)| has an ordinary double point at each P∈ S and Sing (F)=S.

Support prices for weakly maximal programs of a growth model with uncertainty

Nikolaos S. Papageorgiou (1994)

Commentationes Mathematicae Universitatis Carolinae


We consider an infinite dimensional, nonstationary growth model with uncertainty. Using techniques from functional analysis and the subdifferentiation theory of concave functions, we establish the existence of a supporting price system for a weakly maximal program.