A class of $l^1$-preduals which are isomorphic to quotients of $C(ω^ω)$

ArticleOriginal scientific text

Title

Authors ¹

Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, Oklahoma 74078-1058, U.S.A.

For every countable ordinal α, we construct an

l_{1}

-predual

X_{α}

which is isometric to a subspace of

C (ω^{ω^{ω^{α} + 2}})

and isomorphic to a quotient of

C (ω^{ω})

. However,

X_{α}

is not isomorphic to a subspace of

C (ω^{ω^{α}})

.

spaces of continuous functions, countable compact spaces,

l_{1}

-preduals

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