An Abstract Version of a Result of Fong and Sucheston
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 247-248
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Nagel [3] has given a purely functional-analytic proof of Akcoglu and Sucheston's operator version [1] of the Blum-Hanson theorem. The purpose of this note is to show that the same techniques may be applied to obtain a proof, in the context of (AL)-spaces, of a more general result due to Fong and Sucheston [2]. By Kakutani's representation theorem, any (AL)-space can of course be represented as an L-1-space. Thus the present result is simply a reformulation of that of Fong and Sucheston.
Kopp, P. E. An Abstract Version of a Result of Fong and Sucheston. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 247-248. doi: 10.4153/CMB-1978-042-5
@article{10_4153_CMB_1978_042_5,
author = {Kopp, P. E.},
title = {An {Abstract} {Version} of a {Result} of {Fong} and {Sucheston}},
journal = {Canadian mathematical bulletin},
pages = {247--248},
year = {1978},
volume = {21},
number = {2},
doi = {10.4153/CMB-1978-042-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-042-5/}
}
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