Ebook: Contributions to Operator Theory in Spaces with an Indefinite Metric: The Heinz Langer Anniversary Volume
- Tags: Mathematics general
- Series: Operator Theory Advances and Applications 106
- Year: 1998
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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 birthday.
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.
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 birthday.
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.
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 birthday.
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.
Content:
Front Matter....Pages i-vii
Heinz Langer and his work....Pages 1-22
On the spectra of some classes of quadratic operator pencils....Pages 23-36
Special realizations for Schur upper triangular operators....Pages 37-90
On the defect of noncontractive operators in Kre?n spaces: a new formula and some applications....Pages 91-112
Positive differential operators in the Krein space L2(?n)....Pages 113-129
Singular values of positive pencils and applications....Pages 131-146
Perturbations of Krein spaces preserving the nonsingularity of the critical point infinity....Pages 147-155
Selfadjoint extensions of the orthogonal sum of symmetric relations, II....Pages 157-185
Some interpolation problems of Nevanlinna-Pick type. The Kre?n-Langer method....Pages 187-200
On the spectral representation for singular selfadjoint boundary eigenvalue problems....Pages 201-216
Some characteristics of a linear manifold in a Kre?n space and their applications....Pages 217-251
Riggings and relatively form bounded perturbations of nonnegative operators in Kre?n spaces....Pages 253-257
Norm bounds for Volterra integral operators and time-varying linear systems with finite horizon....Pages 259-273
The numerical range of selfadjoint matrix polynomials....Pages 275-290
Spectral properties of a matrix polynomial connected with a component of its numerical range....Pages 291-304
Lyapunov stability of a perturbed multiplication operator....Pages 305-308
Multiplicative perturbations of positive operators in Krein spaces....Pages 309-326
On the number of negative squares of certain functions....Pages 327-336
Factorization of elliptic pencils and the Mandelstam hypothesis....Pages 337-353
An inductive limit procedure within the quantum harmonic oscillator....Pages 355-387
Canonical systems with a semibounded spectrum....Pages 389-395
Back Matter....Pages 397-417
....Pages 419-421