Automatic continuity of certain isomorphisms between regular banach function algebras

Glasgow Mathematical Journal

Volumn 39, Issue 3, 1997, Pages 333-343

  Font, Juan J ^a  

^a UNIVERSITAT JAUME I   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031328367     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0017089500032250     Document Type: Article

References (21)

1. Y. Abramovich, Multiplicative representation of disjointness preserving operators. Indag. Math. 45 (1983), 265-279.
2. J. Araujo, E. Beckenstein and L. Narici, Biseparating maps and homeomorphic real-compactifications, J. Math. Anal. Appl. 192 (1995), 258-265.
3. J. Araujo and J. J. Font, Linear isometrics between subspaces of continuous functions, Trans. Amer. Math. Soc. 349 (1997), 413-428.
4. J. Araujo and J. J. Font, On Shilov boundaries for subspaces of continuous functions. Topology and Appl. 77 (1997), 79-85.
5. W. Arendt, Spectral properties of Lamperti operators. Indiana Univ. Math. J. 32 (1983), 199-215.
6. W. Arendt and D. R. Hart, The spectrum of quasi-invertible disjointness preserving operators, J. Functional Analysis, 68 (1986), 149-167.
7. S. Banach, Théorie des opérations linéaires (Chelsea Publishing Company, New York, 1932).
8. E. Beckenstein, L. Narici and R. Todd, Automatic continuity of linear maps on spaces of continuous functions, Manuscripta Math. 62 (1988), 257-275.
9. H. G. Dales, Banach algebras and automatic continuity (Oxford University Press), to appear.
10. J. J. Font and S. Hernández, Separating maps between locally compact spaces. Arch. Math. (Basel) 63 (1994), 158-165.
11. J. J. Font and S. Hernández, Automatic continuity and representation of certain linear isomorphisms between group algebras. Indag. Math. 6(4) (1995), 397-409.
12. S. Hernández, E. Beckenstein and L. Narici, Banach-Stone theorems and separating maps, Manuscripta Math. 86 (1995), 409-416.
13. E. Hewitt and K. A. Ross, Abstract harmonic analysis II (Springer-Verlag, 1963).
14. C. Huijsmans and B. de Pagter, Invertible disjointness preserving operators, Proc. Edinburgh Math. Soc. 37 (1993), 125-132.
15. B. E. Johnson, The uniqueness of the (complete) norm topology, Bull. Amer. Math. Soc. 73 (1967), 537-539.
16. K. Jarosz, Automatic continuity of separating linear isomorphisms, Canad. Math. Bull. 33 (2) (1990), 139-144.
17. A. Koldunov, Hammerstein operators preserving disjointness, Proc. Amer. Math. Soc. 123 (1995), 1083-1095.
18. J. Lamperti, On the isometries of certain function spaces, Pacific J. Math. 8 (1958), 459-466.
19. M. Nagasawa, Isomorphisms between commutative Banach algebras with an application to rings of analytic functions, Kodai Math. Sem. Rep. 11 (1959), 182-188.
20. H. Reiter, Classical harmonic analysis and locally compact groups (Oxford University Press, 1968).
21. L. Y. H. Yap, Every Segal algebra satisfies Ditkin's condition, Studia Math. 40 (1971), 235-237.