Journal of Operator Theory

Volume 40, Issue 1, Summer 1998 pp. 147-183.

On extensions of hermitian functions with a finite number of negative squares

Authors: M. Kaltenback (1), and H. Woracek (2)
Author institution: (1) Institut fur Analysis, echnische Mathematik und Versicherungsmathematik, TU Wien, Wiedner Hauptstr.\ 8-10/114.1, A-1040 Wien, Austria
(2) Institut fur Analysis, echnische Mathematik und Versicherungsmathematik, TU Wien, Wiedner Hauptstr.\ 8-10/114.1, A-1040 Wien, Austria

Summary: We study extensions of a Hermitian function $f$ with a finite number of negative squares given on a finite interval to the whole real axis. We associate to $f$ an (in general degenerated) inner product space and a symmetric relation and use the theory of selfadjoint extensions in order to describe all extensions of $f$.

Keywords: Hermitian function with negative squares, selfadjoint (symmetric) relation

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