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.
Similar content being viewed by others
References
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.
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.
J. Lindenstrauss and A. Pelczynski,Contributions to the theory of the classical Banach spaces, J. Functional Analysis8 (1971), 225–249.
J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces, Lecture Notes in Mathematics No. 338, Springer-Verlag, New York, 1973.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Andrew, A.D. On subsequences of the Haar system inC(Δ). Israel J. Math. 31, 85–90 (1978). https://doi.org/10.1007/BF02761382
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02761382