Oleg Ivanovich Reinov
Abstract
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It is known that any separable Banach space with BAP is a complemented subspace of a Banach space with a basis. We show that every operator with bounded approximation property, acting from a separable Banach space, can be factored through a Banach space with a basis.
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It is known that any separable Banach space with BAP is a complemented subspace of a Banach space with a basis. We show that every operator with bounded approximation property, acting from a separable Banach space, can be factored through a Banach space with a basis.
Key concepts: Approximation property, Banach space, Separable space, Bounded function, Mathematics, Bounded operator, Invariant subspace problem, Finite-rank operator