1. A class of Banach sequence spaces analogous to the space of Popov
- Creator:
- Azimi, Parviz and Ledari, A. A.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Banach spaces, Schur property, and hereditarily $l_p$
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public