Mymathware Shafii's math academy

Fixed points: A self explanatory discussion on fixed points.  Fixed point also known as invariant point is a beautiful concept of mathematics. The fixed point of a funct…

Metric space: Convergence and continuity of metric spaces In metric space, we can not talk about convergence and continuity without applauding Felix Hausdorff for his im…

Metric space: Open and closed Balls, neighbourhood, open and closed set - Lecture II  The distance function provides an idea of the "surrounding" of a point. G…

Metric spaces: An abstract study of distance of elements in a set. The word metric  literally means distance, and metric spaces is the study of distance or a study of ho…

What set of numbers are scalers precisely?  Most people often assume scalers to be real numbers only forgetting that a vector space can be defined over any field of numb…

Definition Let $\mathcal{A}$ be an associative $\mathbb{C}$-algebra, let $\|.\|$ be a norm on the vector $\mathbb{C}$-vector space $\mathcal{A}$, and let $*:\mathca…

Today i am going to be posting on something related to my current area of research, i am currently researching on the C*-algebras and i will be posting on a v…