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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Bibliographic Details
Main Authors: Fateme Farmanesh, Ali Farokhinia
Format: Article
Language:English
Published: Etamaths Publishing 2018-09-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1740