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Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems pp 47–69Cite as

Extremal Extensions of a C(α)-suboperator and Their Representations

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 162))

Abstract

The operator and the block-operator matrix forms for extremal rigid and soft extensions of a C(α)-suboperator in a Hilbert space are given. Representations of the Friedrichs and Krein-von Neumann maximal sectorial extensions of a sectorial linear relation space as strong resolvent limits of a family maximal accretive extensions are obtained.

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Author information

Authors and Affiliations

  1. Department of Mathematics, East Ukrainian National University, Kvartal Molodyozhny, 20-A, 91034, Lugansk, Ukraine

    Yury Arlinskii

Authors
  1. Yury Arlinskii
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Technische Universität Berlin, D-10623, Berlin, Germany

    Karl-Heinz Förster  & Peter Jonas  & 

  2. Institut für Analysis und Scientific Computing, Technische Universität Wien, A-1040, Wien, Austria

    Heinz Langer

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Arlinskii, Y. (2005). Extremal Extensions of a C(α)-suboperator and Their Representations. In: Förster, KH., Jonas, P., Langer, H. (eds) Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems. Operator Theory: Advances and Applications, vol 162. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7453-5_3

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