Document Zbl 1178.45019

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On convex hull of orthogonal scalar spectral functions of a Carleman operator. (English) Zbl 1178.45019

Bol. Soc. Parana. Mat. (3) 26, No. 1-2, 9-18 (2008).

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 \(L^2(X,\mu)\).

Cited in 1 Document

MSC:

45P05	Integral operators
47B25	Linear symmetric and selfadjoint operators (unbounded)
58C40	Spectral theory; eigenvalue problems on manifolds
45C05	Eigenvalue problems for integral equations

Keywords:

convex hull; defect indices; integral operator; spectral theory; Carleman operator; Hilbert space

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