New aspects of Krein's extension theory
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.
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