2019
Том 71
№ 11

All Issues

New aspects of Krein's extension theory

Brasche J. F., Koshmanenko V. D., Neidhardt H.

Full text (.pdf)


Abstract

The extension problem for closed symmetric operators with a gap is studied. A new kind of parametrization of extensions (the so-called Krein model) is developed. The notion of a singular operator plays the key role in our approach. We give the explicit description of extensions and establish the spectral properties of extended operators.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 1-2, pp 34-53.

Citation Example: Brasche J. F., Koshmanenko V. D., Neidhardt H. New aspects of Krein's extension theory // Ukr. Mat. Zh. - 1994. - 46, № 1-2. - pp. 37–54.

Full text