A CLASS OF BANACH SEQUENCE SPACES ANALOGOUS TO THE SPACE OF POPOV

Hagler and Azimi introduced a class of hereditarily l1 Banach spaces which fail the Schur property. Then the first author extended these spaces to a class of hereditarily lp Banach spaces for 1 <= p < ∞. Here we use these spaces to introduce a new class of hereditarily lp(c0) Banach spaces analogous to the space of Popov. In particular, for p = 1 the spaces are further examples of hereditarily l1 Banach spaces failing the Schur property.

کلیدواژه ها:

l1 hereditarily ، Banach sequence space ، Schur property