Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-26T13:45:59.006Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)