Український математичний конгрес - 2009

Sidi Mohammed Bahri (Mostaganem University, Mostaganem, Algeria)

On a Class of Carleman Operators

We describe the closed convex hull of orthogonal resolvents of an abstract symmetric operator of defect indices (1,1), then we study the convex hull of orthogonal spectral functions of a Carleman operator in the Hilbert space LІ(X,).