Isomorphisms in subspaces of 𝑙₁

Lohman, Robert H.

doi:10.1090/S0002-9939-1972-0291773-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Isomorphisms in subspaces of $l_{1}$
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by Robert H. Lohman PDF

Proc. Amer. Math. Soc. 34 (1972), 323-324 Request permission

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