On the spectra of left-definite operators

DOI10.1007/s11785-011-0178-6zbMath1310.47034OpenAlexW2080332269MaRDI QIDQ371798

Richard Wellman, Lance L. Littlejohn

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0178-6

zbMATH Keywords

Sobolev spacecontinuous spectrumself-adjoint operatorpoint spectrumsimilarity transformationHilbert scaleisometric isomorphismleft-definite operatorleft-definite spaceright-definite operator

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (6)

Properties and decompositions of domains for powers of the Jacobi differential operator ⋮ Boundary conditions associated with the general left-definite theory for differential operators ⋮ Singular left-definite Hamiltonian systems in the Sobolev space ⋮ Perspectives on general left-definite theory ⋮ Intrinsic properties of strongly continuous fractional semigroups in normed vector spaces ⋮ Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator

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