Remove spaces from an input using code

I want to create an input box, a text box and a button such that the user inputs data into the input box and when they click the button the text box contains the information entered but without spaces

eg

Input box: "Los Angeles"

After button click...

Textbox: "LosAngeles"

I understand that I will put the code into an OnClick Event handler for the button, but just not sure about the code to use.

Thanks