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• W1992262764 abstract "In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction A B of the maximal operator? We obtain results showing that it is possible to describe explicitly certain spaces $${mathcal{S}}$$ and $$tilde{mathcal{S}}$$ such that the resolvent bordered by projections onto these subspaces is analytic everywhere that the M-function is analytic. We present three examples – one involving a Hain-Lüst type operator, one involving a perturbed Friedrichs operator and one involving a simple ordinary differential operators on a half line – which together indicate that the abstract results are probably best possible." @default.
• W1992262764 created "2016-06-24" @default.
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• W1992262764 date "2009-02-24" @default.
• W1992262764 modified "2023-10-16" @default.
• W1992262764 title "The Abstract Titchmarsh-Weyl M-function for Adjoint Operator Pairs and its Relation to the Spectrum" @default.
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• W1992262764 doi "https://doi.org/10.1007/s00020-009-1668-z" @default.
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