Operator space

An operator space is like a special playground where we can play with different kinds of toys called operators. Just like we have different types of toys like balls, dolls and cars, there are different types of operators too like multiplication, addition and division.

In this playground, we can put two operators together and see what happens when they play with each other. For example, when we put the multiplication operator and the addition operator together, we can see how they work and what new things they can do.

But, just like in any playground, we need some rules here too. These rules tell us how we can put the operators together and how they can play with each other. These rules are called the operator space axioms and they help us understand how operators behave in a special way.

So, an operator space is like a place where we can study and understand the behaviors of these special toy operators, and how we can use them in different ways.