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Normal forms of matrices in topoi

Javad Tavakoli (1982)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Normal matrix polynomials with nonsingular leading coefficients.

Papathanasiou, Nikolaos, Psarrakos, Panayiotis (2008)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Notes on linear combinations of two tripotent, idempotent and involutive matrices that commute.

Özdemir, Halim, Sarduvan, Murat (2008)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

n-supercyclic and strongly n-supercyclic operators in finite dimensions

Romuald Ernst (2014)

Studia Mathematica

We prove that on $ℝ^{N}$ , there is no n-supercyclic operator with 1 ≤ n < ⌊(N + 1)/2⌋, i.e. if $ℝ^{N}$ has an n-dimensional subspace whose orbit under $T \in (ℝ^{N})$ is dense in $ℝ^{N}$ , then n is greater than ⌊(N + 1)/2⌋. Moreover, this value is optimal. We then consider the case of strongly n-supercyclic operators. An operator $T \in (ℝ^{N})$ is strongly n-supercyclic if $ℝ^{N}$ has an n-dimensional subspace whose orbit under T is dense in $ℙ ₙ (ℝ^{N})$ , the nth Grassmannian. We prove that strong n-supercyclicity does not occur non-trivially in finite...

Numerical determination of a canonical form of a symplectic matrix.

Godunov, S.K., Sadkane, Miloud (2001)

Sibirskij Matematicheskij Zhurnal