Geodesic
A Banach Space in Which a Ball is Contained in the Range of Some Countably Additive Measure is Superreflexive
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 45-49

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DOI

A nonstandard proof of the fact that a Banach space in which a ball is contained in the range of a countably additive measure is superreflexive is given. The proof is an application of a general method in which we first transfer certain standard objects to the nonstandard hull of a Banach space and then, using the quite well developed theory of nonstandard hulls, derive results about the objects in the original Banach space. It also provides us with an example of the applications of the theory of nonstandard hull valued measures.
DOI : 10.4153/CMB-1990-007-5
Mots-clés : 28E05, 46G10, 03H05, 46B20 
Sun, Yeneng. A Banach Space in Which a Ball is Contained in the Range of Some Countably Additive Measure is Superreflexive. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 45-49. doi: 10.4153/CMB-1990-007-5
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     title = {A {Banach} {Space} in {Which} a {Ball} is {Contained} in the {Range} of {Some} {Countably} {Additive} {Measure} is {Superreflexive}},
     journal = {Canadian mathematical bulletin},
     pages = {45--49},
     year = {1990},
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     number = {1},
     doi = {10.4153/CMB-1990-007-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-007-5/}
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