Characterization of the absolutely summing operators in a Banach space using μ-approximate l_1 sequences
Abstract
In this paper we will give a characterization of 1-absolutely summing operators using μ-approximate l_1 sequences. Exactly if (x_n )_1^∞ is μ-approximate l_1 , basic and normalized sequence in Banach space X then every bounded linear operator T from X into Banach space Y is 1-absolutely summing if and only if Y is isomorphic to Hilbert space.The authors retain all rights to the original work without any restrictions.
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