linear operator

It makes sense to ask which linear operators on a given space are closed.

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

The most common kind of operator encountered are linear operators.

Linear operators also play a great role in the infinite-dimensional case.

The identity map on any module is a linear operator.

The point of the terminology appears for L a linear operator.

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

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

It also defines a linear operator on the space of all smooth functions.

A short introduction to the perturbation theory of linear operators.

The concept of linearity can be extended to linear operators.

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

In technical language, integral calculus studies two related linear operators.

A more general linear operator L might be expressed as:

However, matrices are merely representations of linear operators, and these we still have.

Other such questions are compactness or weak-compactness of linear operators.

The Jordan canonical form and the classification of linear operators over the complex numbers.

Consider linear operators on a finite-dimensional vector space over a perfect field.

In mathematics, the operator norm is a means to measure the "size" of certain linear operators.

Both simple and complex cells are seen as linear operators (filters) because they respond to many patterns.

Note that both and are linear operators, so .

The identity function is a linear operator, when applied to vector spaces.

Let us define a linear operator P, called the exchange operator.

Additionally, (1) can be performed using any linear operator in any field.

We assume the following further properties on this collection of linear operators: