Numerical range

The numerical range of an operator

A

is

N (A) = {⟨ ψ ∣ A ∣ ψ ⟩ : ∥ ψ ∥ = 1} .

Table of contents
- Numerical range of a normal matrix Numerical range

Numerical range of a normal matrix

For a finite-dimensional normal matrix, the numerical range is the convex hull of its eigenvalues.

 Ancestors (5)

 Incoming links (1)

Past exam of the mathematics course of the year 2 of the natural sciences course of the University of Cambridge / 2012 / Paper 1 / 6 / i / b / Solution

 View article source

 Discussion (0) New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Numerical range by

Wikipedia Bot  1

The numerical range is an important concept in functional analysis and operator theory.

 Read the full article

  See all articles in the same topic Create my own version