On m-Sectorial Extensions of Sectorial Operators

Автор(и)

  • Yury Arlinskii Volodymyr Dahl East Ukrainian National University, 59-a Central Ave., Severodonetsk, 93400, Ukraine
  • Andrey Popov Volodymyr Dahl East Ukrainian National University, 59-a Central Ave., Severodonetsk, 93400, Ukraine

DOI:

https://doi.org/10.15407/mag13.03.205

Ключові слова:

секторіальний оператор, акретивний оператор, розширення Фрідріхса, розширення Крейна-фон Неймана, межова пара, межова трійка

Анотація

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.

Посилання

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Arlinskii, Y.; Popov, A. On m-Sectorial Extensions of Sectorial Operators. Журн. мат. фіз. анал. геом. 2017, 13, 205-241.

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