Operator Pada Ruang Fungsi Terintegral Dunford

Abstract

An integral Dunford and an operator on Dunford integrable functional space have discussed in this article. The results were shown that the Dunford integrable functional space was a linear function. For every Dunford integrable function on a closed interval, there is an operator that is linear bounded and weak compact operator, whereas its adjoin operator is also linear bounded and weak compact. An operator is weak compact if and only if its adjoin operator is weak compact. Furthermore, the norm of this operator was equal to the norm of its adjoin operator.

Norma Operator Pada Ruang Fungsi Terintegral Dunford

“…Pada integral Dunford, jaminan eksistensi nilainya dijamin oleh Lemma Dunford. Melalui lemma tersebut dapat dikontruksi operator dan merupakan operator linear terbatas [3,5]. Kemudian dikaji seminorma pada ruang fungsi terintegral Dunford [6].…”

Ruang Bernorma Lengkap Atas Operator Linear Terbatas Pada Ruang Fungsi Terintegral Dunford

“…Operator adjoint sendiri digunakan untuk menyelesaikan persamaan integral yang mengandung operator. Telah dikaji operator pada ruang fungsi terintegral Dunford [6], operator Adjoint pada ruang fungsi terintegral Dunford dan operator linear kompak lemah pada ruang fungsi terintegral Dunford. juga bersifat linear terbatas [7].…”