Weakly compact multilinear mappings

Proceedings of the Edinburgh Mathematical Society

Volumn 40, Issue 1, 1997, Pages 181-192

  Aron, Richard M ^a   Galindo, Pablo ^b  

^a KENT STATE UNIVERSITY   (United States)

^b UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444445829     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0013091500023543     Document Type: Article

References (18)

1. R. ALENCAR and K. FLORET, Weak-strong continuity of multilinear mappings and the Pełczyǹski-Pitt theorem, J. Math. Anal. Appl., to appear.
2. R. ARENS, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951), 839-848.
3. R. ARON, R. ALENCAR and S. DINEEN, A reflexive space of holomorphic functions in infinitely many variables, Proc. Amer. Math. Soc. 90 (1984), 407-411.
4. R. ARON and P. BERNER, A Hahn-Banach extension theorem for analytic mappings, Bull. Soc. Math. France 106 (1978), 3-24.
5. R. ARON, S. Y. CHOI and J. L. G. LLAVONA, Estimates by polynomials, Bull. Austral. Math. Soc. 52 (1995), 475-486.
6. R. ARON, B. COLE and T. GAMELIN, Spectra of algebras of analytic functions on a Danach space, J. Reine Angew. Math. 415 (1991), 51-93.
7. R. ARON and S. DINEEN, Q-reflexive Banach Spaces, Rocky Mountain J. Math., to appear.
8. R. ARON, P. GALINDO, D. GARCÍA and M. MAESTRE, Regularity and Algebras of Analytic Functions in Infinite Dimensions, Trans. Amer. Math. Soc. 348 (1996), 543-559.
9. R. ARON, C. HERVES and M. VALDIVIA, Weakly continuous mappings on Banach spaces, J. Funct. Anal. 52 (1983), 189-204.
10. J. DIESTEL, Sequences and series in Banach spaces (Graduate Texts in Math. 92, Springer-Verlag, New York, 1984).
11. S. DINEEN, Complex Analysis in Locally Convex Spaces (Math. Studies 57, North-Holland, Amsterdam, 1981).
12. J. FARMER, Polynomial Reflexivity in Banach Spaces. Israel J. Math. 87 (1994), 257-273.
13. H. JARCHOW, Locally Convex Spaces (Teubner, 1981).
14. A. PEŁCZYǸSKI, On weakly compact polynomial operators with Dunford-Pettis property, Bull. Acad. Polonaise Sc., 11 (1963), 371-378.
15. R. RYAN, Weakly compact holomorphic mappings on Banach Spaces. Pacific J. Math. 131 (1988), 179-190.
16. E. SAAB and P. SAAB, Extensions of some classes of operators and applications, Rocky Mountain J. Math. 23 (1993), 319-337.
17. E. TOMA, Aplicações holomorfas e polinómios τ-contínuos (Thesis, Univ. Federal do Rio de Janeiro, 1993).
18. A. ÜLGER, Weakly compact bilinear forms and Arens regularity, Proc. Amer. Math. Soc. 101 (1987), 697-704.