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On the three space property for C(K)-spaces

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Abstract Assuming p = c , we show that for every Eberlein compact space L of weight c there exists a short exact sequence 0 → c 0 → X… Click to show full abstract

Abstract Assuming p = c , we show that for every Eberlein compact space L of weight c there exists a short exact sequence 0 → c 0 → X → C ( L ) → 0 , where the Banach space X is not isomorphic to a C ( K ) -space.

Keywords: property spaces; space; three space; space property

Journal Title: Journal of Functional Analysis
Year Published: 2021

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