PEMBUKTIAN SIFAT RUANG BANACH PADA D(K) | Zendy

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PEMBUKTIAN SIFAT RUANG BANACH PADA D(K)

Author(s) -

Malahayati Malahayati

Publication year - 2012

Publication title -

jurnal ilmiah matematika dan pendidikan matematika

Language(s) - English

Resource type - Journals

eISSN - 2550-0422

pISSN - 2085-1456

DOI - 10.20884/1.jmp.2012.4.1.2940

Subject(s) - banach space , separable space , mathematics , statement (logic) , completeness (order theory) , bounded function , pure mathematics , class (philosophy) , space (punctuation) , metric (unit) , discrete mathematics , mathematical analysis , computer science , law , artificial intelligence , economics , political science , operations management , operating system

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.

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