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ANNALES SOCIETATIS MATHEMATICAE POLONAE Series I: COMMENTATIONES MATHEMATICAE ROCZNIKI POLSKIEGO TOWARZYSTWA MATEMATYCZNEGO Seria I: PRACE MATEMATYCZNE XLV (1) (2005), 107-124

unpublished

We show that the Banach space D(0, 1) of all scalar (real or complex) functions on [0, 1) that are right continuous at each point of [0, 1) with left-hand limit at each point of (0, 1] equipped with the uniform convergence topology is primary. 1991 Mathematics Subject Classification: 46B20, 46B25, 46E15. A Banach space X is said to be primary if for every continuous projection P : X → X, either P (X) or (I − P)(X) is isomorphic to X. Many classical C(K) spaces are known to be primary, for

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