Register to reply

T-invariant subspace

by gatekeeper
Tags: subspace, tinvariant
Share this thread:
gatekeeper
#1
Dec13-08, 10:49 AM
P: 1
Let the minimal polynomial of T on a finite dimensional vector space V be p where p is irreducible. Show that a cyclic submodule of V does not contain a proper T invariant subspace.

Let the minimal polynomial of T on a finite dimensional vector space V be p^2 where p is irreducible. Is it true that V contains a proper T invariant subspace?
Phys.Org News Partner Science news on Phys.org
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100

Register to reply

Related Discussions
Proof: V is an invariant subspace of Hermitian H Calculus & Beyond Homework 10
Invariant measures Quantum Physics 6
Invariant Subspace Calculus & Beyond Homework 1
T-invariant subspaces Linear & Abstract Algebra 3
T-invariant Subspaces Linear & Abstract Algebra 1