PEMBUKTIAN SIFAT RUANG BANACH PADA D(K)

Malahayati Malahayati (Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga)

Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika

In this paper we study class of all functions which are differences of bounded semicontinuous functions on a separable metric space K denoted by . Haydon, Odell and Rosenthal (1991) proved that is a Banach space by using the series criterion for completeness. In this paper we prove the statement in a different way.