Weakly Complemented Subspace

A closed subspace of a Banach space X is called weakly complemented if the dual i^* of the natural embedding i:M↪X has a right inverse as a bounded operator.

For example, the Banach space of all complex sequences converging to zero together with the supremum norm c_ degrees is weakly complemented in l^infty, not complemented in l^infty (Whitley 1966).

This entry contributed by Mohammad Sal Moslehian

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Moslehian, Mohammad Sal. "Weakly Complemented Subspace." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/WeaklyComplementedSubspace.html

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