Topological conditions for bound-2 isomorphisms of C(X)

H. Cohen; C.-H. Chu

Studia Mathematica (1995)

  • Volume: 113, Issue: 1, page 1-24
  • ISSN: 0039-3223

Abstract

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We establish the topological relationship between compact Hausdorff spaces X and Y equivalent to the existence of a bound-2 isomorphism of the sup norm Banach spaces C(X) and C(Y).

How to cite

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Cohen, H., and Chu, C.-H.. "Topological conditions for bound-2 isomorphisms of C(X)." Studia Mathematica 113.1 (1995): 1-24. <http://eudml.org/doc/216156>.

@article{Cohen1995,
abstract = {We establish the topological relationship between compact Hausdorff spaces X and Y equivalent to the existence of a bound-2 isomorphism of the sup norm Banach spaces C(X) and C(Y).},
author = {Cohen, H., Chu, C.-H.},
journal = {Studia Mathematica},
keywords = {bound-2 isomorphism},
language = {eng},
number = {1},
pages = {1-24},
title = {Topological conditions for bound-2 isomorphisms of C(X)},
url = {http://eudml.org/doc/216156},
volume = {113},
year = {1995},
}

TY - JOUR
AU - Cohen, H.
AU - Chu, C.-H.
TI - Topological conditions for bound-2 isomorphisms of C(X)
JO - Studia Mathematica
PY - 1995
VL - 113
IS - 1
SP - 1
EP - 24
AB - We establish the topological relationship between compact Hausdorff spaces X and Y equivalent to the existence of a bound-2 isomorphism of the sup norm Banach spaces C(X) and C(Y).
LA - eng
KW - bound-2 isomorphism
UR - http://eudml.org/doc/216156
ER -

References

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  13. [13] J. Dixmier, Sur certains espaces considérés par M. H. Stone, Summa Brasil. Math. 2, (1951), 151-182. 
  14. [14] H. Gordon, The maximal ideal space of a ring of measurable functions, Amer. J. Math. 88 (1966), 827-843. Zbl0156.36904
  15. [15] J. R. Isbell and Z. Semadeni, Projection constants and spaces of continuous functions, Trans. Amer. Math. Soc. 107 (1963), 38-43. Zbl0116.08304
  16. [16] K. Jarosz, Small isomorphisms of C(X,E) spaces, Pacific J. Math. 138 (1989), 295-315. Zbl0698.46033
  17. [17] S. Kakutani, Concrete representation of abstract (L)-spaces and the mean ergodic theorem, Ann. of Math. 42 (1941), 523-537. Zbl0027.11102
  18. [18] J. L. Kelley, Banach spaces with the extension property, Trans. Amer. Math. Soc. 72 (1952), 323-326. Zbl0046.12002
  19. [19] J. Lamperti, On the isometries of certain function spaces, Pacific J. Math. 8 (1958), 459-466. Zbl0085.09702

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