Operator Theory: Advances and Applications
14 primary works • 21 total works
Book 8
Book 12
Topics in Operator Theory Systems and Networks
by H Dym and Prof. Israel Gohberg
The papers contained in this volume constitute a more than representative se1ection of the presented talks and dis- cussion at the workshop, and hopefu11y will also serve to give a reasonably accurate picture of the problems which are under active study today and the techniques which are used to deal with them.
Book 49
Classes of Linear Operators Vol. I
by Israel Gohberg, Seymor Goldberg, and Marinus Kaashoek
Book 53
One-Dimensional Linear Singular Integral Equations
by N Krupnik and Israel Gohberg
Book 56
Book 79
Partially Specified Matrices and Operators: Classification, Completion, Applications
by Israel Gohberg, Marinus Kaashoek, and Frederik Van Schagen
Book 140
Orthogonal Systems and Convolution Operators
by Robert L Ellis and Israel Gohberg
Book 162
Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems
by Karl-Heinz F�rster, Peter Jonas, and H Langer
Last but not least, special thanks are due to Jussi Behrndt, Christian Mehl and Carsten Trunk for their excellent workin the organisationof the workshopand the preparationof this volume. Without their assistance the workshop might not have taken place. The Editors Operator Theory: Advances and Applications, Vol. 162, 1-17 c 2005 Birkh. auser Verlag Basel/Switzerland Partial Non-stationary Perturbation Determinants for a Class of J-symmetric Operators Vadim Adamyan, Peter Jonas and Heinz Langer Abstract. We consider the partial non-stationary perturbation determinant (1) itA ?itH ? (t):=det e P e ,t? R.
Book 178
Factorization of Matrix and Operator Functions: The State Space Method
by Harm Bart, Israel Gohberg, Marinus A Kaashoek, and Andr Ran
This book delineates the various types of factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, and the theory of job scheduling in operations research. The book presents a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions.
Book 181
Operator Algebras, Operator Theory and Applications
by Maria Amellia Bastos, Israel Gohberg, Amarino Brites Lebre, and Frank-Olme Speck
This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.
Book 192
Holomorphic Operator Functions of One Variable and Applications
by Israel Gohberg and J Rgen Leiterer
The ?rst period was very fruitful and during it we obtained the basic results presented in this book.
Book 200
A State Space Approach to Canonical Factorization with Applications
by Harm Bart, Marinus A Kaashoek, and Andre C Ran
The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations. A large part the book deals with rational matrix functions only.
Book 235
Separable Type Representations of Matrices and Fast Algorithms
by Yuli Eidelman, Israel Gohberg, and Iulian Haimovici
Book 288
Completeness Theorems and Characteristic Matrix Functions
by Marinus A Kaashoek and Sjoerd M. Verduyn Lunel
v. 49
Classes of Linear Operators
by Prof. Israel Gohberg, Seymor Goldberg, and Marinus A Kaashoek
v. 34
Orthogonal Matrix-valued Polynomials and Applications
by Prof. Israel Gohberg
v. 130
Operator Theory in Inner Product Spaces
by Peter Jonas, Heinz Langer, and Carsten Trunk
v. 106
Contributions to Operator Theory in Spaces with an Indefinite Metric
by Heinz Langer
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.