Fastest way to remove white spaces in string

With linq you can do it simply:

emailaddress = new String(emailaddress
                                     .Where(x=>x!=' ' && x!='\r' && x!='\n')
                                     .ToArray());

I didn't compare it with stringbuilder approaches, but is much more faster than string based approaches. Because it does not create many copy of strings (string is immutable and using it directly causes to dramatically memory and speed problems), so it's not going to use very big memory and not going to slow down the speed (except one extra pass through the string at first).

I would build a custom extension method using StringBuilder, like:

public static string ExceptChars(this string str, IEnumerable<char> toExclude)
{
    StringBuilder sb = new StringBuilder(str.Length);
    for (int i = 0; i < str.Length; i++)
    {
        char c = str[i];
        if (!toExclude.Contains(c))
            sb.Append(c);
    }
    return sb.ToString();
}

Usage:

var str = s.ExceptChars(new[] { ' ', '\t', '\n', '\r' });

or to be even faster:

var str = s.ExceptChars(new HashSet<char>(new[] { ' ', '\t', '\n', '\r' }));

With the hashset version, a string of 11 millions of chars takes less than 700 ms (and I'm in debug mode)

EDIT :

Previous code is generic and allows to exclude any char, but if you want to remove just blanks in the fastest possible way you can use:

public static string ExceptBlanks(this string str)
{
    StringBuilder sb = new StringBuilder(str.Length);
    for (int i = 0; i < str.Length; i++)
    {
        char c = str[i];
        switch (c)
        {
            case '\r':
            case '\n':
            case '\t':
            case ' ':
                continue;
            default:
                sb.Append(c);
                break;
        }
    }
    return sb.ToString();
}

EDIT 2 :

as correctly pointed out in the comments, the correct way to remove all the blanks is using char.IsWhiteSpace method :

public static string ExceptBlanks(this string str)
{
    StringBuilder sb = new StringBuilder(str.Length);
    for (int i = 0; i < str.Length; i++)
    {
        char c = str[i];
        if(!char.IsWhiteSpace(c))
            sb.Append(c);
    }
    return sb.ToString();
}

Given the implementation of string.Replaceis written in C++ and part of the CLR runtime I'm willing to bet

email.Replace(" ","").Replace("\t","").Replace("\n","").Replace("\r","");

will be the fastest implementation. If you need every type of whitespace, you can supply the hex value the of unicode equivalent.