Cone-constrained linear equations in banach spaces

Journal of Convex Analysis

Volumn 4, Issue 1, 1997, Pages 149-164

  Hernandez Lerma, O ^a   Lasserre, J B ^b  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b LAAS CNRS   (France)

Author keywords

Fredholm alternative; Generalized Farkas Theorem; Linear equations in Banach spaces

Indexed keywords

EID: 21744436332     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. J. Borwein: Weak tangent cones and optimization in a Banach space, SIAM J. Contr. Optim. 16 (1978) 512-522.
2. H. Brézis: Analyse Fonctionnelle: Théorie et Applications, Masson, Paris, 1983.
3. B.D. Craven, J.J. Koliha: Generalizations of Farkas' Theorem, SIAM J. Math. Anal. Appl. 8 (1977) 983-997.
4. J.L. Doob: Measure Theory, Springer-Verlag, New York, 1994.
5. M. Duflo: Méthodes Récursives Aléatoires, Masson, Paris, 1990.
6. N. Dunford, J.T. Schwartz: Linear Operators, Part I: General Theory, Interscience-Wiley, New York, 1957.
7. G. Emmanuele: Existence of solutions to a functional-integral equation in infinite dimensional Banach spaces, Czech. Math. J. 44 (1994) 603-609.
8. O. Hernandez-Lerma, J.B. Lasserre: An extension of the Vitali-Hahn-Saks theorem, Proc. Amer. Math. Soc. 124 (1996) 3673-3676.
9. p spaces, Technical Report, LAAS-CNRS, Toulouse, 1995.
10. R.P. Kanwal: Linear Integral Equations: Theory and Technique, Academic Press, Inc., San Diego, 1971.
11. S.G. Krein: Linear Equations in Banach Spaces, Birkhäuser, Boston, 1982.
12. J.B. Lasserre: A Farkas Lemma without a standard Closure condition, SIAM J. Contr. Optim. 35 (1997) 265-272.
13. W. Rudin: Real and Complex Analysis, 3rd edition, McGraw-Hill, New York, 1986.