Non-semibounded sesquilinear forms and left-indefinite Sturm-Liouville problems

DOI10.1007/BF01203080zbMath0922.47014MaRDI QIDQ1280548

Andreas Fleige

Publication date: 15 March 1999

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville problemselfadjoint operatorweighted Sobolev normclosed densely defined semibounded Hermitian sesquilinear formKato's first and second representation theoremKrein space methods

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Representation theory of linear operators (47A67) Linear operators on spaces with an indefinite metric (47B50)

Related Items (10)

The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems ⋮ Representation theorems for solvable sesquilinear forms ⋮ Positive and negative eigenfunction expansion results for indefinite Sturm-Liouville problems ⋮ Diagonalization of indefinite saddle point forms ⋮ REPRESENTATION THEOREMS FOR INDEFINITE QUADRATIC FORMS REVISITED ⋮ Some representation theorems for sesquilinear forms ⋮ A Kato's second type representation theorem for solvable sesquilinear forms ⋮ Existence and asymptotics of eigenvalues of indefinite systems of Sturm-Liouville and Dirac type ⋮ A failing eigenfunction expansion associated with an indefinite Sturm-Liouville problem ⋮ A generalisation of the form method for accretive forms and operators

Cites Work

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