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complex-valued continuous functions with compact support on H-lc (Definition)

Class of complex-valued continuous functions with compact support on a a locally compact Hausdorff space $H-{lc}$.

Definition 1.1   Let $H_{lc}$ be a locally compact Hausdorff space. Then, one defines the notation $C_c (H_{lc})$ as the space of complex-valued continuous functions with compact support on $H_{lc}$.

Note: For simplicity, this is also denoted as $C_c(X)$ even though it is tacitly assumed that the topological space $X = H_{lc}$.



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Other names:  Cc(H-lc)
Keywords:  complex-valued continuous functions with compact support on locally compact spaces

Cross-references: topological, functions, locally compact Hausdorff space

This is version 1 of complex-valued continuous functions with compact support on H-lc, born on 2009-01-10.
Object id is 363, canonical name is ComplexValuedContinuousFunctionsWithCompactSupportOnHLc.
Accessed 515 times total.

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Physics Classification: 03. (Quantum mechanics, field theories, and special relativity )
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