On Twisted Sums of Sequence Spaces
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 15, Issue 0
Abstract
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.
Authors and Affiliations
Haifa Mohammed Bin Jebreen
Keywords
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- EP ID EP651847
- DOI 10.24297/jam.v15i0.7901
- Views 199
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