Injective modules for uniform algebras

Proceedings of the London Mathematical Society

Volumn 73, Issue 1, 1996, Pages 155-184

  White, M C ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009888859     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/plms/s3-73.1.155     Document Type: Article

References (20)

1. F. F. BONSALL and J. DUNCAN, Complete normed algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete 80 (Springer, New York, 1973).
2. P. CIVIN and B. YOOD, 'The second conjugate space of a Banach algebra as an algebra', Pacific J. Math. 11 (1961) 847-870.
3. R. G. DOUGLAS and V. I. PAULSEN, Hilbert modules over function algebras, Pitman Research Notes in Mathematics 217 (Longman, London, 1989).
4. S. D. FISHER, Function theory on planar domains (Wiley-Interscience, New York, 1963).
5. J. E. GALÉ, T. J. RANSFORD, and M. C. WHITE, 'Weakly compact homomorphisms', Trans. Amer. Math. Soc. 331 (1992) 815-824.
6. T. W. GAMELIN, Uniform algebras (Chelsea, New York, 1984).
7. I. GLICKSBERG, 'Function algebras with closed restrictions', Proc. Amer. Math. Soc. 14 (1963) 158-161.
8. A. YA. HELEMSKII, 'The homological dimension of normed modules over Banach algebras', Mat. Sb. 83 (125) (1970) 222-233.
9. A. YA. HELEMSKII, 'On a class of flat Banach modules, with applications', Vestnik Moskov. Univ. Ser. I Mat. Mekh. 27 (1972) 29-36.
10. A. YA. HELEMSKII, The homology of Banach and topological algebras (Kluwer Academic, Dordrecht, 1986).
11. B. E. JOHNSON, 'Cohomology of Banach algebras', Mem. Amer. Math. Soc. 127 (1972).
12. S. MACLANE, Homology (Springer, Berlin and Academic Press, New York, 1963).
13. W. MLAK, 'Commutants of subnormal operators', Bull. Acad. Polon. Sci. 19 (1971) 837-842.
14. S. OHNO and J. WADA, 'Compact homomorphisms on function algebras', Tokyo J. Math. 4 (1981) 105-112.
15. V. I. PAULSEN, Completely bounded maps and dilations, Pitman Research Notes in Mathematics 146 (Longman, London, 1986).
16. M. V. SHEINBERG, 'Relatively injective modules over Banach algebras', Vestnik Moskov. Univ. Ser. I Mat. Mekh. 3 (1971) 53-58;
17. Moscow Univ. Math. Bull. 26 (1971).
18. A. M. SINCLAIR, 'Annihilator ideals in the cohomology of Banach algebras', Proc. Amer. Math. Soc. 33 (1972) 361-366.
19. E. H. SPANIER, Algebraic topology (McGraw-Hill, New York, 1966).
20. J. L. TAYLOR, 'Homology and cohomology for topological algebras', Adv. in Math. 9 (1972) 137-182.