EQUIVALENCE AMONG THREE 2-NORMS ON THE SPACE OF p-SUMMABLE SEQUENCES

Abstract

There are two known 2-norms de fined on the space of p-summable sequences of real numbers. The first 2-norm is a special case of Gahler's formula [Mathematische Nachrichten, 1964], while the second is due to Gunawan [Bulletin of the Australian Mathematica