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1. CJM 2005 (vol 57 pp. 61)
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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)
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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 |