On Banach frames

Examples and counter examples to distinguish various types of Banach frames have been given. It has been proved that if a Banach space has a Banach frame, then it also has a normalized tight as well as a normalized tight and exact Banach frame. In particular, it has been proved that a Banach space with a weak* separable dual has a normalized tight and exact Banach frame. A condition for the stability of a Banach frame has been given. Finally, we consider finite sum of Banach frames and give a condition under which finite sum of Banach frames is a Banach frame.