Geodesic
RIEMANN–LEBESGUE PROPERTIES OF BANACH SPACES ASSOCIATED WITH SUBSETS OF COUNTABLE DISCRETE ABELIAN GROUPS
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 159-166

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DOI

For a subset $\Lambda$ of the dual group of a compact metrizable abelian group, we introduce the type I-, II-, and III-$\Lambda$-Riemann–Lebesgue property of a Banach space. As an application we use these properties to characterize Rajchman sets.
DOI : 10.1017/S0017089502001118
Mots-clés : 46B22, 46S10, 43A25 
DOWLING, PATRICK N.; RANDRIANANTOANINA, NARCISSE. RIEMANN–LEBESGUE PROPERTIES OF BANACH SPACES ASSOCIATED WITH SUBSETS OF COUNTABLE DISCRETE ABELIAN GROUPS. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 159-166. doi: 10.1017/S0017089502001118
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     author = {DOWLING, PATRICK N. and RANDRIANANTOANINA, NARCISSE},
     title = {RIEMANN{\textendash}LEBESGUE {PROPERTIES} {OF} {BANACH} {SPACES} {ASSOCIATED} {WITH} {SUBSETS} {OF} {COUNTABLE} {DISCRETE} {ABELIAN} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {159--166},
     year = {2003},
     volume = {45},
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     doi = {10.1017/S0017089502001118},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502001118/}
}
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