Quasi-algebra, a special sample of quasilinear spaces
Functional Analysis
2020-10-20 v1
Abstract
Similar to linear spaces, many examples of quasilinear spaces have a notion of multiplication of the elements. To characterising these examples, in the present paper we generalize the notion of quasilinear spaces and introduce quasi-algebras and normed quasi-algebras with the help of what was done in constructing algebras. After examining some properties of these new spaces, we introduce the concept of quasi-homomorphisms that is an instance of a quasilinear operator. Moreover since the study of spaces with algebraic structures cannot be completed without the study of spectrums, we define the concept of quasi-spectrum on quasi-algebras as we expect it to be.
Keywords
Cite
@article{arxiv.2010.08724,
title = {Quasi-algebra, a special sample of quasilinear spaces},
author = {Reza Dehghanizade and Seyed Mohamad Sadegh Modarres Mosadegh},
journal= {arXiv preprint arXiv:2010.08724},
year = {2020}
}
Comments
24 pages,