complex-valued continuous functions with compact support on H-lc
(Definition)
1 Class of complex-valued continuous functions with compact support on a a locally compact
Hausdorff space H − lc.
Definition 1.1.Let Hlc be a locally compact Hausdorff space. Then, one defines the
notation Cc(Hlc) as the space of complex-valued continuous functions with compact support
on Hlc.
Note: For simplicity, this is also denoted as Cc(X) even though it is tacitly assumed that the
topological space X = Hlc.
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