Rien Kaashoek

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Marinus Adriaan "Rien" Kaashoek (born November 10, 1937 in Ridderkerk ) is a Dutch mathematician. He was a professor at the Free University of Amsterdam .

Kaashoek received his doctorate in 1964 under Adriaan Cornelis Zaanen at the University of Leiden . From 1959 he was assistant in Leiden and from 1966 lecturer at the Free University of Amsterdam, where he became professor in 1969.

He was visiting professor at the University of Maryland, College Park (1975), the University of Calgary (1987), Ben Gurion University of the Negev (1987) and Tel Aviv University .

He deals with the analysis and theory of operators, matrix theory and mathematical systems theory, e.g. Wiener-Hopf integral equations, Toeplitz operators, operator analogies of Bezout and resultant matrices, completions and interpolations of operators, state space methods in analysis.

Harm Bart and André Ran are among his PhD students .

Fonts

Books:

  • with TT West, Locally compact semi-algebras with applications to spectral theory of positive operators, North-Holland Mathematics Studies, Vol. 9, North-Holland, Amsterdam, 1974
  • with Harm Bart, Israel Gohberg : Minimal factorization of matrix and operator functions, Birkhäuser Verlag, Basel, 1979
  • with I. Gohberg, Seymour Goldberg: Classes of Linear Operators, 2 volumes, Birkhäuser 1990, 1993
  • with I. Gohberg, F. van Schagen: Partially specified matrices and operators: classification, completion, applications, Birkhäuser 1995
  • with Ciprian Foias , A. Frazho, I. Gohberg: Metric constrained interpolation, commutant lifting and systems, Birkhäuser 1998
  • with I. Gohberg, S. Goldberg: Basic Classes of Linear Operators, Birkhäuser 2003
  • with H. Bart, I. Gohberg, André CM Ran: Factorization of matrix and operator functions: the state space method, Birkhäuser Verlag, Basel, 2008
  • with H. Bart, I. Gohberg, ACM Ran, A state space approach to canonical factorization with applications, Birkhäuser 2010

Some essays:

  • with Bart Harm u. a .: Factorizations of transfer functions , SIAM Journal on Control and Optimization, Volume 18, 1980, pp. 675-696.
  • with Israel Gohberg: Time varying linear systems with boundary conditions and integral operators. I. The transfer operator and its properties , Integral equations and Operator theory, Volume 7, 1984, pp. 325-391.

Web links

Individual evidence

  1. Rien Kaashoek in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used