New aspects of Krein's extension theory

• Дата: 1994
• Автори: Brasche, J. F., Koshmanenko, V. D., Neidhardt, H., Браш, Дж. Ф., Кошманенко, В. Д., Нейдхардт, Х.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1994
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5768
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 sp...