Open AccessOn Twisted Sums of Sequence Spaces
Author(s) -
H. M. Jebreen
Publication year - 2018
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v15i0.7901
Subject(s) - mathematics , dual polyhedron , space (punctuation) , sequence (biology) , tree (set theory) , pure mathematics , combinatorics , discrete mathematics , philosophy , linguistics , biology , genetics
We prove the existence of non trivial twisted sums involving the pth James space Jp(1 < p < 1), the Johnson-Lindenstrauss space JL; the James tree space JT , the Tsirelson’s space T and the Argyros and Deliyanni space AD . We also present non trivial twisted sums involving their duals and biduals. We show that there are strictly singular quasi-linear maps from the spaces T ;T* ; AD and JT into C[0; 1]. We discuss the Pelczynski’s property(u) for the twisted sums involving these spaces which extends a pthJames-Schreier spaces Vp(1 < p <1) or J2.