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On<i>w</i><sup>โˆ—</sup>-sequential convergence and quasi-reflexivity

On<i>w</i><sup>โˆ—</sup>-sequential convergence and quasi-reflexivity

This paper characterizes quasi-reflexive Banach spaces in terms of certain properties of the w*-sequential closure of subspaces.A real Banach space X is quasi-reflexive of order n, where n is a nonnegative integer, if and only if the canonical image J X X of X has algebraic codimension n in the โ€ฆ