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Quotient Hereditarily Indecomposable Banach Spaces

Quotient Hereditarily Indecomposable Banach Spaces

Abstract A Banach space X is said to be quotient hereditarily indecomposable if no infinite dimensional quotient of a subspace of X is decomposable. We provide an example of a quotient hereditarily indecomposable space, namely the space X GM constructed by W. T. Gowers and B. Maurey in [GM]. Then …