Linear Equations in Banach Spaces (Paperback, Softcover reprint of the original 1st ed. 1982)

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."

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Release date:	November 1982
First published:	1982
Authors:	Krein
Dimensions:	229 x 152 x 6mm (L x W x T)
Format:	Paperback
Pages:	106
Edition:	Softcover reprint of the original 1st ed. 1982
ISBN-13:	978-0-8176-3101-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Topology > General Promotions
LSN:	0-8176-3101-1
Barcode:	9780817631017

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