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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.


"complex-valued continuous functions with compact support on H-lc" is owned by bci1.
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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 2136 times total.

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

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