Isomorphisms in subspaces of $l_{1}$
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- by Robert H. Lohman
- Proc. Amer. Math. Soc. 34 (1972), 323-324
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291773-2
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Abstract:
It is shown that a closed, infinite dimensional linear subspace X of ${l_1}$ is quotient homogeneous if and only if X is isomorphic to ${l_1}$.References
- J. Lindenstrauss and H. P. Rosenthal, Automorphisms in $c_{0}$, $l_{1}$ and $m$, Israel J. Math. 7 (1969), 227–239. MR 250032, DOI 10.1007/BF02787616
- Robert H. Lohman, Isomorphisms in subspaces of $c_{0}$, Canad. Math. Bull. 14 (1971), 571–572. MR 313760, DOI 10.4153/CMB-1971-103-8
- A. Pełczyński, Projections in certain Banach spaces, Studia Math. 19 (1960), 209–228. MR 126145, DOI 10.4064/sm-19-2-209-228
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 323-324
- MSC: Primary 46B05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291773-2
- MathSciNet review: 0291773