Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Some remarks on injective envelopes


Author: D. J. H. Garling
Journal: Proc. Amer. Math. Soc. 27 (1971), 503-505
MSC: Primary 46.10; Secondary 54.00
DOI: https://doi.org/10.1090/S0002-9939-1971-0276730-3
MathSciNet review: 0276730
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Another proof is given of the fact that every metric space (respectively every Banach space) has an injective envelope.


References [Enhancements On Off] (What's this?)

  • [1] B. Banaschewski, Essential extensions and injectivity for metric and Banach spaces, Canad. Math. Bull. 12 (1969), 116-118.
  • [2] H. B. Cohen, Injective envelopes of Banach spaces, Bull. Amer. Math. Soc. 70 (1964), 723-726. MR 32 #1536. MR 0184060 (32:1536)
  • [3] J. R. Isbell, Injective envelopes of Banach spaces are rigidly attached, Bull. Amer. Math. Soc. 70 (1964), 727-729. MR 32# 1537. MR 0184061 (32:1537)
  • [4] -, Six theorems about injective metric spaces, Comment. Math. Helv. 39 (1964), 65-76, MR 32 #431. MR 0182949 (32:431)
  • [5] -, Three remarks on injective envelopes of Banach spaces, J. Math. Anal. Appl. 27(1969), 516-518. MR 0251512 (40:4739)
  • [6] R. Kaufman, A type of extension of Banach spaces, Acta. Sci. Math. (Szeged) 27 (1966), 163-166. MR 34 #4872. MR 0205037 (34:4872)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46.10, 54.00

Retrieve articles in all journals with MSC: 46.10, 54.00


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0276730-3
Keywords: Injective envelope, Banach space, metric space, contraction mapping
Article copyright: © Copyright 1971 American Mathematical Society

American Mathematical Society