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Decoupling by a projection
Authors:H. Baumgärtel  M. Demuth
Affiliation:Zentralinstitut für Mathematik und Mechanik der AdW der DDR, Berlin, G.D.R.
Abstract:The asymptotic behaviour for μ→∞ of the family H+μP is investigated, where H is a semi-bounded but not bounded selfadjoint operator, P is an orthoprojection, H is local with respect to P?=1?P. A characterization of the Friedrichs extension of
/></figure> by the strong resolvent convergence limit of the family <em>H</em>+<em>μP</em> (which exists) is given. Applications to differential operators and strengthening of the main result (as to convergence with respect to the trace norm for some power of the resolvent) are discussed. Also an application to certain two space scattering systems is given.</td>
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