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https://math.stackexchange.com/questions/465216/space-of-continuous-functions-with-compact-support-dense-in-space-of-continuous
Space of continuous functions with compact support dense in space of continuous functions vanishing at infinity [closed]
https://math.stackexchange.com/questions/3432720/space-of-continuous-functions-with-compact-support-dense-in-space-of-integrable
Space of continuous functions with compact support dense in space of integrable functions [closed]
https://www.planetmath.org/CompactlySupportedContinuousFunctionsAreDenseInLp
We denote by C c (X) the space of continuous functions X → ℂ with compact support.
https://www.researchgate.net/publication/259260858_Continuous_functions_with_compact_support
Continuous functions with compact support 107 (4) M is Hausdorff, if and only if, for every pair of distinct maximal ideals M and N of K there exist points a, b ∈ K such that a 6∈ M , b 6∈ N
http://www.ams.org/journals/tran/1971-156-00/S0002-9947-1971-0275367-4/S0002-9947-1971-0275367-4.pdf
Gillman and Jerison have shown that when A'is a realcompact space, the functions in C(X) with compact support are precisely the functions which belong to every free maximal ideal in C(X). This result, and other general background material, may be found in our basic reference [GJ].
https://mathoverflow.net/questions/237636/are-compactly-supported-continuous-functions-dense-in-the-continuous-functions-o
Continuous functions on $\mathbb R^d$ such that the support is a compact subset of $\overline{\Omega}$? For "nice" $\Omega$ this would be the space of continuous functions on $\Omega$ vanishing at the boundary. $\endgroup$ – Jochen Wengenroth Apr 29 '16 at 12:50
https://www.math.cuhk.edu.hk/course_builder/1415/math3060/Chapter%203.%20Continuous%20Functions.pdf
continuous functions when the underlying space is compact. Ascoli-Arezela theorem, which characterizes compact sets in the space of continuous functions, is established in
https://en.wikipedia.org/wiki/Function_space
In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited by the function space. For example, the set of functions from any set X into a vector space has a natural vector space structure given by pointwise addition and scalar multiplication.
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