On the primariness of the Banach space 𝑙_{∞}/𝐶₀

Author:

Drewnowski Lech,Roberts James W.

Abstract

In a response to a question asked by Leonard and Whitfield (1983) we show that, under the Continuum Hypothesis, the Banach space l / C 0 {l_\infty }/{C_0} is primary.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. An 𝑀-space which is not isomorphic to a 𝐶(𝐾) space;Benyamini, Y.;Israel J. Math.,1977

2. Finite-dimensional decompositions in Banach spaces;Casazza, P. G.,1986

3. Mathematical Surveys, No. 15;Diestel, J.,1977

4. Saturated Boolean algebras and their Stone spaces;Dow, Alan;Topology Appl.,1985

5. L. Drewnowski and J. W. Roberts, On Banach spaces containing a copy of 𝑙_{∞}, and some three-space properties (to appear).

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