Semisimple operator
id:
semisimple-operator-253-4005044
title:
Semisimple operator
text:
In mathematics, a linear operator T : V → V on a vector space V is semisimple if every T-invariant subspace has a complementary T-invariant subspace. If T is a semisimple linear operator on V, then V is a semisimple representation of T. Equivalently, a linear operator is semisimple if its minimal polynomial is a product of distinct irreducible polynomials. A linear operator on a finite-dimensional vector space over an algebraically closed field is semisimple if and only if it is diagonalizable.
brand slug:
wiki
category slug:
encyclopedia
description:
Linear operator
original url:
https://en.wikipedia.org/wiki/Semisimple_operator
date created:
date modified:
2023-12-11T21:04:17Z
main entity:
{"identifier":"Q3299281","url":"https://www.wikidata.org/entity/Q3299281"}
image:
fields total:
13
integrity:
14