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Minimal operators from a potential-theoretic viewpoint
Authors:Sirkka-Liisa Eriksson-Bique  Heinz Leutwiler
Institution:(1) Department of Mathematics, University of Joensuu, SF-80101 Joensuu, Finland;(2) Mathematisches Institut der Universität Erlangen-Nürnberg, Bismarckstrasse 1 1/2, D-8520 Erlangen, Federal Republic of Germany
Abstract:Minimal positive operators on a Hilbert spaceH are characterized in terms of so-called parallel addition of operators. It is also shown how these operators can be used to reproduce the inverse, respectively generalized inverse, of any positive operator onH.
Keywords:47D25  39B50  46C99  31D05
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