Can we override [][] ?

I wanted to do an operator override for [][] but couldnt' figure out the
syntax. I tried this (code that doesn't compile commented out with //:

class CMyBitmap
{
public:
    CMyBitmap( int Rows, int Columns ): Rows_( Rows ), Columns_( Columns )
    {
        Data_ = new SPixel[ Rows * Columns ];
    }
    ~CMyBitmap()
    {
        delete[] Data_;
    }

// error C2804: binary 'operator [' has too many parameters
// SPixel& operator[]( const int Row, const int Column )
// {
// return Data_[ Columns_ * Row + Column ];
// }

// error C2092: '[]' array element type cannot be function
// SPixel& operator[][]( const int Row, const int Column )

    SPixel& Pixel( const int Row, const int Column )
    {
        return Data_[ Columns_ * Row + Column ];
    }

private:
    SPixel* Data_;
    int Rows_;
    int Columns_;

    // No copy or assignment yet so disable by making private.
    CMyBitmap ( CMyBitmap const& ) {};
    CMyBitmap& operator=( CMyBitmap const& ) {};

};

Can we override 2d array access?