Y.D. Sumanto
Departemen Matematika, Fakultas Sains Dan Matematika, Universitas Diponegoro

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NORMA OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; Susilo Hariyanto; Y.D. Sumanto; Abdul Aziz
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (455.381 KB) | DOI: 10.14710/jfma.v2i2.42

Abstract

We are discussed operator norms on spce of Dunford integral function. We show that for a function which Dunford integral, operator from dual space into space of Lebesgue integral  is a bounded linear operator. Furthermore, sets of all bounded linear operator is a linear space and it is a normed space by norm certain. Finally, the distance function generated by the norm is metrix space.