Titlebook: Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems; Karl-Heinz Förster,Peter Jonas,Heinz Langer Conference proceedings 2006

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Partial Non-stationary Perturbation Determinants for a Class of ,-symmetric Operators,totic behavior of δ. (.) for . → ∞ and the spectral shift function for . and its diagonal part are studied. Analogous results for the case if the underlying space is a Hilbert space were obtained in [1].

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Selfadjoint Extensions with Several Gaps: Finite Deficiency Indices,ir ., .} is monotone with respect to ., then for any self-adjoint operator . on some separable Hilbert space ℜ obeying dim(.(.)ℜ) ≤ .(.) there exists a self-adjoint extension . such that the spectral parts . and . are unitarily equivalent. The result generalizes a corresponding result of M.G. Krein for a single gap.

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Conference proceedings 2006rs, realization theory and models of generalized Nevanlinna functions, interpolation problems, reproducing kernel spaces, matrix and operator pencils, locally definitizable functions, and semigroups..

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