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Proceedings of the American Mathematical Society

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

 

 

Projections from $ L\sp{p}(G)$ onto central functions


Author: Benjamin B. Wells
Journal: Proc. Amer. Math. Soc. 59 (1976), 289-290
MSC: Primary 43A15
MathSciNet review: 0425508
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Abstract: Let $ G$ denote a locally compact $ [FC]_B^ - $-group. Then for every $ 1 \leqslant p \leqslant \infty $ there is a projection from $ {L^p}(G)$ onto the $ B$-central functions in $ {L^p}(G)$.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0425508-0
Keywords: Locally compact $ [FC]_B^ - $-group, $ B$-invariant Borel set, $ B$-central function, projection
Article copyright: © Copyright 1976 American Mathematical Society