C#3.0自动属性 ​​- 是否可以添加自定义行为？

public string Name { get; set; }

public class Person
{
    public string FirstName { get; set; }
    public string LastName { get; set; }
    private string _name;
    public string Name => _name ??= FullName(FirstLetterToLower(_name ?? "") + LastName);

    private static string GetFullName(string name) => String.Join(" ", name.Split(' ').Skip(1));

    private static string FirstLetterToLower(string input)
    {
        if (String.IsNullOrEmpty(input))
        {
            return input;
        }
        char[] firstLetter = input[0].ToCharArray();
        Array.Sort(firstLetter);
        return new string(firstLetter).ToLower();
    }
}