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Contributions to Operator Theory in Spaces with an Indefinite Metric : The Heinz Langer Anniversary Volume

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概要 This volume is dedicated to Heinz Langer, a leading expert in spectral analysis and its applications, in particular to operators in spaces with an indefinite metric, on the occasion of his 60th birthd...ay. The book begins with his biography and list of publications. It contains a selection of research papers, most of which are devoted to spectral analysis of operators or operator pencils with applications to ordinary and partial differential equations. Other papers deal with time-varying systems, interpolation and factorization problems, and topics from mathematical physics. About half of the papers contain further developments in the theory of operators in spaces with an indefinite metric and treat new applications. The book is of interest to a wide audience of pure and applied mathematicians.続きを見る
目次 Heinz Langer and his work
On the spectra of some class of quadratic operator pencils
Special realizations for Schur upper triangular operators
On the defect of noncontractive operators in Kre?nin spaces: a new formula and some applications
Positive differential operators in the Krein space L2(M?n)
Singular values of positive pencils and applications
Perturbations of Krein spaces preserving the nonsingularity of the critical point infinity
An analysis of the block structure of jqq-inner functions
Selfadjoint extensions of the orthogonal sum of symmetric relations, II
Some interpolation problems of Nevanlinna-Pick type. The Krein-Langer method
On the spectral representation for singular selfadjoint boundary eigenvalue problems
Some characteristics of a linear manifold in a Kre?nn space and their applications
Riggings and relatively form bounded perturbations of nonnegative operators in Krem spaces
Norm bounds for Volterra integral operators and time-varying linear systems with finite horizon
The numerical range of selfadjoint matrix polynomials
Spectral properties of a matrix polynomial connected with a component of its numerical range
Lyapunov stability of a multiplication operator perturbed by a Volterra operator
Multiplicative perturbations of positive operators in Krein spaces
On the number of negative squares of certain functions
Factorization of elliptic pencils and the Mandelstam hypothesis
An inductive limit procedure within the quantum harmonic oscillator
Canonical systems with a semibounded spectrum.
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登録日 2020.06.27
更新日 2020.06.28