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Proceedings of the American Mathematical Society

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

 
 

 

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


Author: Benjamin B. Wells
Journal: Proc. Amer. Math. Soc. 59 (1976), 289-290
MSC: Primary 43A15
DOI: https://doi.org/10.1090/S0002-9939-1976-0425508-0
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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Keywords: Locally compact <IMG WIDTH="62" HEIGHT="45" ALIGN="MIDDLE" BORDER="0" SRC="images/img3.gif" ALT="$[FC]_B^ -$">-group, <IMG WIDTH="22" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$B$">-invariant Borel set, <IMG WIDTH="22" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img2.gif" ALT="$B$">-central function, projection
Article copyright: © Copyright 1976 American Mathematical Society