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On subsequences of the Haar system inC(Δ)

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Abstract

Spaces arising as spans of subsequences of the Haar system inC(Δ) are studied. It is shown that for any compact metric spaceH there is a subsequence whose span is isomorphic toC(H), yet that subsequences exist whose spans are not ℒ spaces.

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References

  1. J. L. B. Gamlen and R. J. Gaudet,On subsequences of the Haar system in L p [0,1], (1<p<∞), Israel J. Math.15 (1974), 404–413.

    MathSciNet  Google Scholar 

  2. W. B. Johnson and J. Zippin,On subspaces of quotients of \((\Sigma G_n )_{l_p } \) and \((\Sigma G_n )_{C_0 } \), Israel J. Math.13 (1972), 311–316.

    MathSciNet  Google Scholar 

  3. J. Lindenstrauss and A. Pelczynski,Contributions to the theory of the classical Banach spaces, J. Functional Analysis8 (1971), 225–249.

    Article  MATH  MathSciNet  Google Scholar 

  4. J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces, Lecture Notes in Mathematics No. 338, Springer-Verlag, New York, 1973.

    MATH  Google Scholar 

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Andrew, A.D. On subsequences of the Haar system inC(Δ). Israel J. Math. 31, 85–90 (1978). https://doi.org/10.1007/BF02761382

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  • DOI: https://doi.org/10.1007/BF02761382

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