Format:
1 Online-Ressource (X, 221 p)
ISBN:
9783034885621
,
9783034896818
Series Statement:
Operator Theory Advances and Applications 64
Note:
This volume consists of eight papers containing recent advances in interpolation theory for matrix functions and completion theory for matrices and operators. In the first paper, D. Alpay and P. Loubaton, "The tangential trigonometric moment problem on an interval and related topics" a trigonometric moment problem on an interval for matrix valued functions is studied. The realization approach plays an important role in solving this problem. The second paper, M. Bakonyi, V.G. Kaftal, G. Weiss and H.J. Woerdeman, "Maximum entropy and joint norm bounds for operator extensions" is dedicated to a matrix completion problem. In it is considered the problem when only the lower triangular part of the operator entries of a matrix is identified. Completions which have simultaneously a small usual norm and a small Hilbert-Schmidt norm are considered. Bounds for these norms are obtained. The analysis of the maximum entropy extension plays a special role. The paper contains applications to nest algebras and integral operators. The third paper, J .A. Ball, I. Gohberg and M.A. Kaashoek, "Bitangential interpolation for input-output operators of time varying systems: the discrete time case" contains solutions of time varying interpolation problems. The main attention is focused on the time varying analog of the Nevanlinna-Pick tangential problem in the case where the interpolation conditions appear from two sides. The state space theory of time varying systems play an important role
Language:
English
Keywords:
Matrix
;
Vervollständigung
;
Operator
;
Vervollständigung
;
Matrixfunktion
;
Interpolation
DOI:
10.1007/978-3-0348-8562-1
Author information:
Gohberg, Yiśrāʿēl Z. 1928-2009
