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Characteristic and hyperinvariant subspaces over the field GF (2)
Let f be an endomorphism of a vector space V over a field K. An f-invariant subspace X⊆ V
is called hyperinvariant (respectively, characteristic) if X is invariant under all …
is called hyperinvariant (respectively, characteristic) if X is invariant under all …
[HTML][HTML] Description of characteristic non-hyperinvariant subspaces over the field GF (2)
Given a square matrix A, an A-invariant subspace is called hyperinvariant (respectively,
characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular …
characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular …
[HTML][HTML] The characteristic subspace lattice of a linear transformation
Given a square matrix A∈ M n (F), the lattices of the hyperinvariant (Hinv (A)) and
characteristic (Chinv (A)) subspaces coincide whenever F≠ GF (2). If the characteristic …
characteristic (Chinv (A)) subspaces coincide whenever F≠ GF (2). If the characteristic …
[HTML][HTML] The lattice of characteristic subspaces of an endomorphism with Jordan–Chevalley decomposition
Given an endomorphism A over a finite dimensional vector space having Jordan–Chevalley
decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained …
decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained …
[HTML][HTML] The centralizer of an endomorphism over an arbitrary field
The centralizer of an endomorphism of a finite dimensional vector space is known when the
endomorphism is nonderogatory or when its minimal polynomial splits over the field. It is …
endomorphism is nonderogatory or when its minimal polynomial splits over the field. It is …
[HTML][HTML] Characteristic subspaces and hyperinvariant frames
Let f be an endomorphism of a finite dimensional vector space V over a field K. An f-invariant
subspace is called hyperinvariant (respectively characteristic) if it is invariant under all …
subspace is called hyperinvariant (respectively characteristic) if it is invariant under all …
Linear transformations with characteristic subspaces that are not hyperinvariant
If $ f $ is an endomorphism of a finite dimensional vector space over a field $ K $ then an
invariant subspace $ X\subseteq V $ is called hyperinvariant (respectively, characteristic) if …
invariant subspace $ X\subseteq V $ is called hyperinvariant (respectively, characteristic) if …
[HTML][HTML] Characteristic invariant subspaces generated by a single vector
If f is an endomorphism of a finite dimensional vector space V over a field K then an invariant
subspace X⊆ V is called hyperinvariant (respectively, characteristic) if X is invariant under …
subspace X⊆ V is called hyperinvariant (respectively, characteristic) if X is invariant under …
[HTML][HTML] Computing the cardinality of the lattice of characteristic subspaces
We obtain the cardinality of the lattice of characteristic subspaces of a nilpotent Jordan
matrix when the underlying field is GF (2), the only field where the lattices of characteristic …
matrix when the underlying field is GF (2), the only field where the lattices of characteristic …
[HTML][HTML] Counting d-dimensional hyperinvariant subspaces of a Weyr matrix
Counting d-dimensional hyperinvariant subspaces of a Weyr matrix - ScienceDirect Skip to
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