BibTex Citation Data :
@article{JFMA7401, author = {Solikhin Solikhin and Y.D. Sumanto and Abdul Aziz}, title = {SEMINORM PADA RUANG FUNGSI TERINTEGRAL DUNFORD}, journal = {Journal of Fundamental Mathematics and Applications (JFMA)}, volume = {2}, number = {1}, year = {2019}, keywords = {}, abstract = {This article discussed the seminorm on Dunford integrable functional space. We show that the set of all Dunford integrable functions is linear space. The results were shown that \$\left( D[a,b],\ \left\| \ \cdot \ \right\| \right)\$ is a seminorm space with function defined by \$\left\| f \right\|=\underset\{\begin\{smallmatrix\} \{\{x\}^\{*\}\}\in \{\{X\}^\{*\}\} \\ \left\| \{\{x\}^\{*\}\} \right\|\le 1 \end\{smallmatrix\}\}\{\mathop\{\sup \}\}\,\ \left\\{ \underset\{E\subset [a,b]\}\{\mathop\{\sup \}\}\,\,\left| \left( L \right)\int\limits_\{E\}\{\{\{x\}^\{*\}\}f\} \right| \right\\}\$. Furthermore, \$\left( D[a,b],\ d \right)\$ is a pseudomatrix space with function defined by \$d\left( f,g \right)=\left\| f-g \right\|=\underset\{\begin\{smallmatrix\} \{\{x\}^\{*\}\}\in \{\{X\}^\{*\}\} \\ \left\| \{\{x\}^\{*\}\} \right\|\le 1 \end\{smallmatrix\}\}\{\mathop\{\sup \}\}\,\ \left\\{ \underset\{E\subset [a,b]\}\{\mathop\{\sup \}\}\,\,\left| \left( L \right)\int\limits_\{E\}\{\{\{x\}^\{*\}\}\left( f-g \right)\} \right| \right\\}\$.}, issn = {2621-6035}, pages = {26--34} doi = {10.14710/jfma.v2i1.30}, url = {https://ejournal2.undip.ac.id/index.php/jfma/article/view/7401} }
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