Extension Theory of Symmetric Operators and Boundary Value Problems

This book presents the results obtained by the authors over the last four decades in the extension theory of symmetric operators in Hilbert spaces. First, some classic results are highlighted, influenced primarily by Krein, Vishik and Birman. Then, the method of boundary triples is discussed, demons...

Бүрэн тодорхойлолт

-д хадгалсан:
Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Derkach, Volodymyr (Зохиогч), Malamud, Mark (Зохиогч)
Байгууллагын зохиогч: SpringerLink (Online service)
Формат: Цахим Цахим ном
Хэл сонгох:англи
Хэвлэсэн: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Хэвлэл:2nd ed. 2025.
Цуврал:Operator Theory: Advances and Applications, 309
Нөхцлүүд:
Онлайн хандалт:https://doi.org/10.1007/978-3-032-02967-6
Шошгууд: Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
Агуулга:
  • - 1. Introduction
  • 2. Unbounded Linear Operators
  • 3. Extension Theory of Symmetric Operators
  • 4. Semibounded Operators and Forms
  • 5. Block Operator Matrices and Kreĭn’s Extension Theory of Non-Negative Operators
  • 6. Herglotz–Nevanlinna Functions
  • 7. Linear Relations
  • 8. Boundary Triples, Proper Extensions and Weyl Functions
  • 9. Boundary Triples and Extension Theory of Non-Negative Operators
  • 10. Boundary Triples and Extension Theory of Operators with Gaps
  • 11. Sturm–Liouville Operator
  • 12. Extension Theory for Non-Densely Defined Symmetric Operator
  • 13. Functional Models of Symmetric and Selfadjoint Operators
  • 14. Characteristic Functions and Resolvent Matrices.