Author | Krein, S. G. author |
---|---|
Title | Linear Equations in Banach Spaces [electronic resource] / by S. G. Krein |
Imprint | Boston, MA : Birkhรคuser Boston, 1982 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-8068-9 |
Descript | XII, 106 p. online resource |
ยง 1. Linear equations. Basic notions -- ยง 2. Equations with a Closed Operator -- ยง 3. The Adjoint Equation -- ยง 4. The Equation Adjoint to the Factored Equation -- ยง 5. An Equation with a Closed Operator Which Has a Dense Domain -- ยง 6. Normally Solvable Equations with Finite Dimensional Kernel -- ยง 7. A Priori Estimates -- ยง 8. Equations with Finite Defect -- ยง 9. Some Different Adjoint Equations -- ยง 10. Linear Transformations of Equations -- ยง11. Transformations of d-Normal Equations -- ยง 12. Noetherian equations. Index -- ยง 13. Equations with Operators Which Act in a Single Space -- ยง 14. Fredholm equations. Regularization of equations -- ยง 15. Linear Changes of Variable -- ยง 16. Stability of the Properties of an Equation -- ยง 17. Overdetermined Equations -- ยง 18. Undetermined Equations -- ยง 19. Integral Equations -- ยง 20. Differential Equations -- Appendix. Basic results from functional analysis used in the text -- Literature cited