In this paper 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 L^2 (X; \mu) :
@article{7398, title = {On Convex Hull of Orthogonal Scalar Spectral Functions of a Carleman Operator - doi: 10.5269/bspm.v26i1-2.7398}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {23}, year = {2009}, doi = {10.5269/bspm.v26i1-2.7398}, language = {EN}, url = {http://dml.mathdoc.fr/item/7398} }
Bahri, S. M. On Convex Hull of Orthogonal Scalar Spectral Functions of a Carleman Operator - doi: 10.5269/bspm.v26i1-2.7398. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v26i1-2.7398. http://gdmltest.u-ga.fr/item/7398/