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＜電子ブック＞
Linear Equations in Banach Spaces / by KREIN

版	1st ed. 1982.
出版者	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser
出版年	1982
本文言語	英語
大きさ	XII, 106 p : online resource
著者標目	*KREIN author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Topology FREE:Functional Analysis FREE:Topology
一般注記	§ 1. Linear equations. Basic notions -- § 2. Equations with a Closed Operator -- § 3. The Adjoint Equation -- § 4. The Equation Adjoint to the Factored Equation -- § 5. An Equation with a Closed Operator Which Has a Dense Domain -- § 6. Normally Solvable Equations with Finite Dimensional Kernel -- § 7. A Priori Estimates -- § 8. Equations with Finite Defect -- § 9. Some Different Adjoint Equations -- § 10. Linear Transformations of Equations -- §11. Transformations of d-Normal Equations -- § 12. Noetherian equations. Index -- § 13. Equations with Operators Which Act in a Single Space -- § 14. Fredholm equations. Regularization of equations -- § 15. Linear Changes of Variable -- § 16. Stability of the Properties of an Equation -- § 17. Overdetermined Equations -- § 18. Undetermined Equations -- § 19. Integral Equations -- § 20. Differential Equations -- Appendix. Basic results from functional analysis used in the text -- Literature cited INTRODUCTION . . . . . . xiii § 1. LINEAR EQUATIONS. BASIC NOTIONS . 3 § 2. EQUATIONS WITH A CLOSED OPERATOR 6 § 3. THE ADJOINT EQUATION . . . . . . 10 § 4. THE EQUATION ADJOINT TO THE FACTORED EQUATION. 17 § 5. AN EQUATION WITH A CLOSED OPERATOR WHICH HAS A DENSE DOMAIN 18 NORMALLY SOLVABLE EQUATIONS WITH FINITE DIMENSIONAL KERNEL. 22 § 6. A PRIORI ESTIMATES .. . . . . . 24 § 7. EQUATIONS WITH FINITE DEFECT . . . 27 § 8. § 9. SOME DIFFERENT ADJOINT EQUATIONS . 30 § 10. LINEAR TRANSFORMATIONS OF EQUATIONS 33 TRANSFORMATIONS OF d-NORMAL EQUATIONS . 38 § 11. § 12. NOETHERIAN EQUATIONS. INDEX. . . . . . 42 § 13. EQUATIONS WITH OPERATORS WHICH ACT IN A SINGLE SPACE 44 § 14. FREDHOLM EQUATIONS. REGULARIZATION OF EQUATIONS 46 § 15. LINEAR CHANGES OF VARIABLE . . . . . . . . 50 § 16. STABILITY OF THE PROPERTIES OF AN EQUATION 53 OVERDETERMINED EQUATIONS 59 § 17. § 18. UNDETERMINED EQUATIONS 62 § 19. INTEGRAL EQUATIONS . . . 65 DIFFERENTIAL EQUATIONS . 80 § 20. APPENDIX. BASIC RESULTS FROM FUNCTIONAL ANALYSIS USED IN THE TEXT 95 LITERATURE CITED . . . . . . . . . . . . . . . . . . .. . . . 99 . . PRE F ACE The basic material appearing in this book represents the substance v of a special series of lectures given by the author at Voronez University in 1968/69, and, in part, at Dagestan University in 1970 HTTP:URL=https://doi.org/10.1007/978-1-4684-8068-9

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