Extendible Polynomials on Banach Spaces

Journal of Mathematical Analysis and Applications

Volumn 233, Issue 1, 1999, Pages 359-372

  Carando, Daniel ^a  

^a UNIVERSIDAD DE SAN ANDRÉS   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001654916     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6319     Document Type: Article

References (16)

1. Aron R., Berner P. A Hahn-Banach extension theorem for analytic mappings. Bull. Soc. Math. France. 106:1978;3-24.
2. Carando D., Zalduendo I. A Hahn Banach theorem for integral polynomials. Proc. Amer. Math. Soc. 127:1999;241-250.
3. Davie A., Gamelin T. A theorem on polynomial-star approximation. Proc. Amer. Math. Soc. 106:1989;351-356.
4. Defant A., Floret K. Tensor Norms and Operator Ideals. Math. Studies. 176:1993;North-Holland, Amsterdam.
5. Dineen S. Complex Analysis in Locally Convex Spaces. Math. Studies. 57:1981;North-Holland, Amsterdam.
6. Dineen S., Timoney R. Complex geodesics on convex domains. Bierstedt, Bonet, Horváth, Maestre. Progress in Functional Analysis. Math Studies. 170:1992;333-365 North-Holland, Amsterdam.
7. Galindo P., García D., Maestre M., Mujica J. Extension of multilinear mappings on Banach spaces. Studia Math. 108:1994;55-76.
8. A. Grothendieck, Sur les applications linéaires faiblement compactes d'espaces du typeCK, Canad. J. Math. 5, 129, 173.
9. Hille E., Phillips R. Functional Analysis and Semi-groups. Colloquium Publications. 31:1950;American Mathematical Society. p. 50.
10. Kirwan P., Ryan R. Extendibility of homogeneous polynomials on Banach spaces. Proc. Amer. Math. Soc. 126:1992;1023-1029.
11. Lindenstrauss J., Tzafiri L. Classical Banach spaces I. 1977;Springer-Verlag, Berlin/New York.
12. P. Mazet, A Hahn-Banach theorem for quadratic forms.
13. Mujica J. Complex Analysis in Banach Spaces. Math. Studies. 120:1986;North-Holland, Amsterdam.
14. Ryan R. Dunford-Pettis properties. Bull. Acad. Polon. Sci., Sér. Sci. Math. 27:1979;373-379.
15. R. Ryan, Applications of topological tensor products to infinite dimensional holomorphy, University College, Dublin, 1980.
16. Zalduendo I. A canonical extension for analytic functions on Banach spaces. Trans. Amer. Math. Soc. 320:1990;747-763.