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Sets of divergence on the group $2\sp{\omega }$
1978
Transactions of the American Mathematical Society
Preserved Fulltext
We show that there exist uncountable sets of divergence for C(2U). We also show that a necessary and sufficient condition that a set E be a set of divergence for 1/(2"), 1 < p < oo, is that £ be of Haar measure zero.
doi:10.1090/s0002-9947-1978-0487242-7
fatcat:fb6gn4hgsbfhvmx6x7pmdk5p5y