University of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401A Class of Hereditarily $\ell_p(c_0)$ Banach spaces1071163448610.22130/scma.2018.63393.239ENSomayehShahrakiDepartment of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.AlirezaAhmadi LedariDepartment of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.Journal Article20170504We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $\ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $\ell_p(c_0)$ Banach spaces for $1\leq p<\infty$. Some other properties of this spaces are studied.https://scma.maragheh.ac.ir/article_34486_c7a628098e9007a03b77a6ac583624f8.pdf