linear operator

We may study this linear operator in the context of functional analysis.

This characterization can be used to define the trace for a linear operator in general.

Let be a linear operator from to with and .

The most common kind of operator encountered are linear operators.

In a sense, the linear operators are not continuous because the space has "holes".

It makes sense to ask the analogous question about whether all linear operators on a given space are closed.

The key notion is that of a linear operator on a vector space.

Any closed linear operator defined on the whole space is bounded.

A short introduction to the perturbation theory of linear operators.

This article considers mainly linear operators, which are the most common type.