Some remarks on injective envelopes
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- by D. J. H. Garling PDF
- Proc. Amer. Math. Soc. 27 (1971), 503-505 Request permission
Abstract:
Another proof is given of the fact that every metric space (respectively every Banach space) has an injective envelope.References
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B. Banaschewski, Essential extensions and injectivity for metric and Banach spaces, Canad. Math. Bull. 12 (1969), 116-118.
- Henry B. Cohen, Injective envelopes of Banach spaces, Bull. Amer. Math. Soc. 70 (1964), 723–726. MR 184060, DOI 10.1090/S0002-9904-1964-11189-7
- J. R. Isbell, Injective envelopes of Banach spaces are rigidly attached, Bull. Amer. Math. Soc. 70 (1964), 727–729. MR 184061, DOI 10.1090/S0002-9904-1964-11192-7
- J. R. Isbell, Six theorems about injective metric spaces, Comment. Math. Helv. 39 (1964), 65–76. MR 182949, DOI 10.1007/BF02566944
- John R. Isbell, Three remarks on injective envelopes of Banach spaces, J. Math. Anal. Appl. 27 (1969), 516–518. MR 251512, DOI 10.1016/0022-247X(69)90131-0
- R. Kaufman, A type of extension of Banbach spaces, Acta Sci. Math. (Szeged) 27 (1966), 163–166. MR 205037
Additional Information
- © Copyright 1971 American Mathematical Society
- 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