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Since this is a very simple question, i didn't want ask this here not to bother you, so i saw wikipedia and googled this but still don't get what this space is called..

I want to know (i)name, (ii)abbreviation and (iii)Latex of this space. (i.e. (i)Real Number (ii)$\mathbb{R}$ (iii)$\text{ \mathbb{R}}$)

Here it is;

$A(X)$ is a set of all complex-valued, continuous, bounded functions with domain $X$ where $X$ is a metric space.

What is this $A(X)$ called? Thank you in advance..

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    On [this Wikipedia page](http://en.wikipedia.org/wiki/Continuous_functions_on_a_compact_Hausdorff_space) they denote this space by $C_B(X)$.2012-12-14

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"Continuous" only refers to the topology so there's no reason to restrict yourself to the case of metric spaces. My understanding is that the standard notation is $C_b(X)$ ($C$ for continuous, $b$ for bounded, and the complex is implied). With the sup norm this is a C*-algebra, isomorphic via the Gelfand representation to the C*-algebra $C(\beta X)$ of all continuous complex-valued functions on the Stone-Čech compactification of $X$.