1. CJM 2005 (vol 57 pp. 61)
|On Operators with Spectral Square but without Resolvent Points |
Decompositions of spectral type are obtained for closed Hilbert space operators with empty resolvent set, but whose square has closure which is spectral. Krein space situations are also discussed.
Keywords:unbounded operators, closed operators,, spectral resolution, indefinite metric
Categories:47A05, 47A15, 47B40, 47B50, 46C20
2. CJM 2002 (vol 54 pp. 1142)
|Form Domains and Eigenfunction Expansions for Differential Equations with Eigenparameter Dependent Boundary Conditions|
|Form Domains and Eigenfunction Expansions for Differential Equations with Eigenparameter Dependent Boundary Conditions |
Form domains are characterized for regular $2n$-th order differential equations subject to general self-adjoint boundary conditions depending affinely on the eigenparameter. Corresponding modes of convergence for eigenfunction expansions are studied, including uniform convergence of the first $n-1$ derivatives.
Categories:47E05, 34B09, 47B50, 47B25, 34L10