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Section determinants of unitary operators and the operator-valued Riccati differential equation

Published online by Cambridge University Press:  30 September 2002

PETER OTTE
PETER OTTE
Affiliation:
Mathematisches Institut, Universität München, Theresienstrasse 39, D-80333 München, Germany.
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Abstract

A special initial value problem for the operator-valued Riccati differential equation (RDE) is used for studying section determinants of unitary operators. A solvability criterion for this initial value problem is derived by providing an a-priori estimate of the solution. Alternatively, the same estimate is derived by a method that is based entirely upon linear algebra.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 133 , Issue 2 , September 2002 , pp. 373 - 382
Copyright
2002 Cambridge Philosophical Society

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