Title of article
Spaceability and algebrability of the set of non strongly McShane (product) integrable functions
Author/Authors
Farokhinia, Ali Shiraz Branch, Islamic Azad University, Shiraz, Iran , Farmanesh, Fatemeh Shiraz Branch, Islamic Azad University, Shiraz, Iran
Pages
8
From page
113
To page
120
Abstract
Let X be a unitial Banach algebra, G be the set of functions f : [0, 1] → X that are non strongly McShane integrable and L be the set of functions f : [0, 1] → [0, ∞) that are non strongly McShane integrable. The aim of this paper is to show that there is an infinite dimensional closed vector space in G ∪0 and a c-generated algebra in L isomorphic with a free algebra.
Keywords
Spaceability , Algebrability , McShane integrable , Product integrable
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2020
Record number
2609334
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