A generalization of Ky Fan's inequality.

Gao, Peng

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Adam Lecko (2000)

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A class of Banach sequence spaces analogous to the space of Popov

Parviz Azimi, A. A. Ledari (2009)

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Hagler and the first named author introduced a class of hereditarily $l_{1}$ Banach spaces which do not possess the Schur property. Then the first author extended these spaces to a class of hereditarily $l_{p}$ Banach spaces for $1 \leq p < \infty$ . Here we use these spaces to introduce a new class of hereditarily $l_{p} (c_{0})$ Banach spaces analogous of the space of Popov. In particular, for $p = 1$ the spaces are further examples of hereditarily $l_{1}$ Banach spaces failing the Schur property.