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On Normal Extensions of Unbounded Operators: IV. A Matrix Construction

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Operator Theory and Indefinite Inner Product Spaces

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 163))

Abstract

A condition for an unbounded operator to have a normal extension, which is a matrix operator, is given. The circumstances under which this condition may become necessary are discussed as well and finally a question is posed. By the way some substantial facts concerning infinite operator matrices with unbounded entries are gathered.

to Heinz again, with pleasure

This work was supported by the KBN grant 2 P03A 037 024.

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Author information

Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059, Kraków

    Franciszek Hugon Szafraniec

Authors
  1. Franciszek Hugon Szafraniec
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Strathclyde, 26 Richmond Street, Glasgow, G1 1XH, UK

    Matthias Langer

  2. Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstrasse 8-10 / 101, 1040, Wien, Austria

    Annemarie Luger  & Harald Woracek  & 

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Szafraniec, F.H. (2005). On Normal Extensions of Unbounded Operators: IV. A Matrix Construction. In: Langer, M., Luger, A., Woracek, H. (eds) Operator Theory and Indefinite Inner Product Spaces. Operator Theory: Advances and Applications, vol 163. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7516-7_14

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