Osman Abdalla Adam Osman, Habeeb I.A.Ibrahim, Mohammed Nour A.Rabih
We investigate some structure properties of certain valued functions spaces by using new basis definitions of Banach spaces. We show that the space l_∞ has a relative basis and so has an approximation property. Further the linear subspace P(B,X) of l_∞ (B,X) with a precompact rang has an X – Schauder basis. We prove that the Series of C – Schauder basis of l_∞is not unconditional.
Osman Abdalla Adam Osman, Habeeb I.A.Ibrahim, Mohammed Nour A.Rabih (2018); Relative basis and approximation Propetrty; International Journal of Scientific and Research Publications (IJSRP)
8(11) (ISSN: 2250-3153), DOI: http://dx.doi.org/10.29322/IJSRP.8.11.2018.p8334