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On the \(\ell^1\) non-embedding in the James tree space - MaRDI portal

On the \(\ell^1\) non-embedding in the James tree space (Q1987049)

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On the \(\ell^1\) non-embedding in the James tree space
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    On the \(\ell^1\) non-embedding in the James tree space (English)
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    9 April 2020
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    The author offers a nice introduction to the James tree space JT, and gives an elegant proof of the fact that $\ell_1$ does not embed into~JT. The proof uses the Riesz representation theorem and Rosenthal's $\ell_1$-theorem.
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    separable Banach space
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    \(\ell^1\)
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    James tree space
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