DOI: https://doi.org/10.14710/jfma.v1i2.17

OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD

*Solikhin Solikhin  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Y.D. Sumanto  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Susilo Hariyanto  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Abdul Aziz  -  Departemen Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia

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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.

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : ID
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