On m-Sectorial Extensions of Sectorial Operators
DOI:
https://doi.org/10.15407/mag13.03.205Анотація
Ми вивчаємо максимальнi секторiальнi розширення замкнутого щiльно визначеного секторiального оператора. Зокрема, отримано абстрактнi граничнi умови для таких розширень. Результати застосовано для параметризацiї всiх m-секторiальних розширень невiд'ємного симетричного оператора в моделi двохцентрової точкової взаємодiї на площинi.
Mathematics Subject Classification: 47A20, 47B25, 47B44, 47A06, 47A07, 82B23.
Ключові слова:
секторіальний оператор, акретивний оператор, розширення Фрідріхса, розширення Крейна-фон Неймана, межова пара, межова трійкаПосилання
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