c-Algebrability of Pathological Sets of Product Integrable Functions

Farmanesh, Fateme; Farokhinia, Ali

doi:10.28924/2291-8639-16-2018-689

Research Article

c-Algebrability of Pathological Sets of Product Integrable Functions

Fateme Farmanesh¹
Ali Farokhinia²*

Department of Mathematics, Shiraz Branch, Azad University, Shiraz, Iran
Department of mathematics, Shiraz Branch, Azad University, Shiraz, Iran

* Corresponding author

Abstract

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 $D([a,b],{{\mathbb{R}}^{n\times n}})\backslash {{L}}([a,b],{{\mathbb{R}}^{n\times n}})$.

How to Cite

F. Farmanesh, A. Farokhinia, c-Algebrability of Pathological Sets of Product Integrable Functions, Int. J. Anal. Appl. 16 (2018), 702–711. https://doi.org/10.28924/2291-8639-16-2018-689

BibTeX

@article{Farmanesh2018,
  author  = {Farmanesh, Fateme and Farokhinia, Ali},
  title   = {c-Algebrability of Pathological Sets of Product Integrable Functions},
  journal = {Int. J. Anal. Appl.},
  volume  = {16},
  year    = {2018},
  pages   = {702--711},
  doi     = {10.28924/2291-8639-16-2018-689}
}

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