c-Algebrability of Pathological Sets of Product Integrable Functions
In this paper we investigate linear algebraic structures in the set of product integrable matrix-valued functions and find $\mathfrak{c}$-generated algebras in $L([a,b],{{\mathbb{R}}^{n\times n}})\backslash {{L}^{*}}([a,b],{{\mathbb{R}}^{n\times n}})$ and $D([a,b],{{\mathbb{R}}^{n\times n}})\backsla...
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Etamaths Publishing
2018-09-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1740 |
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doaj-48d17d5dac5d4253b96adb6fdeb0d1382020-11-25T00:27:13ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-09-01165702711334c-Algebrability of Pathological Sets of Product Integrable FunctionsFateme Farmanesh0Ali Farokhinia1Department of Mathematics, Shiraz Branch, Azad University, Shiraz, IranDepartment of mathematics, Shiraz Branch, Azad University, Shiraz, IranIn this paper we investigate linear algebraic structures in the set of product integrable matrix-valued functions and find $\mathfrak{c}$-generated algebras in $L([a,b],{{\mathbb{R}}^{n\times n}})\backslash {{L}^{*}}([a,b],{{\mathbb{R}}^{n\times n}})$ and $D([a,b],{{\mathbb{R}}^{n\times n}})\backslash {{L}}([a,b],{{\mathbb{R}}^{n\times n}})$.http://www.etamaths.com/index.php/ijaa/article/view/1740 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fateme Farmanesh Ali Farokhinia |
| spellingShingle |
Fateme Farmanesh Ali Farokhinia c-Algebrability of Pathological Sets of Product Integrable Functions International Journal of Analysis and Applications |
| author_facet |
Fateme Farmanesh Ali Farokhinia |
| author_sort |
Fateme Farmanesh |
| title |
c-Algebrability of Pathological Sets of Product Integrable Functions |
| title_short |
c-Algebrability of Pathological Sets of Product Integrable Functions |
| title_full |
c-Algebrability of Pathological Sets of Product Integrable Functions |
| title_fullStr |
c-Algebrability of Pathological Sets of Product Integrable Functions |
| title_full_unstemmed |
c-Algebrability of Pathological Sets of Product Integrable Functions |
| title_sort |
c-algebrability of pathological sets of product integrable functions |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2018-09-01 |
| description |
In this paper we investigate linear algebraic structures in the set of product integrable matrix-valued functions and find $\mathfrak{c}$-generated algebras in $L([a,b],{{\mathbb{R}}^{n\times n}})\backslash {{L}^{*}}([a,b],{{\mathbb{R}}^{n\times n}})$ and $D([a,b],{{\mathbb{R}}^{n\times n}})\backslash {{L}}([a,b],{{\mathbb{R}}^{n\times n}})$. |
| url |
http://www.etamaths.com/index.php/ijaa/article/view/1740 |
| work_keys_str_mv |
AT fatemefarmanesh calgebrabilityofpathologicalsetsofproductintegrablefunctions AT alifarokhinia calgebrabilityofpathologicalsetsofproductintegrablefunctions |
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1725341040463839232 |