Commutative/noncommutative rank of linear matrices and subspaces of matrices of low rank.
Fortin, Marc, Reutenauer, Christophe (2004)
Séminaire Lotharingien de Combinatoire [electronic only]
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Fortin, Marc, Reutenauer, Christophe (2004)
Séminaire Lotharingien de Combinatoire [electronic only]
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Kalinowski, Józef (2006)
Beiträge zur Algebra und Geometrie
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Bernard Aupetit, Abdelaziz Maouche (2002)
Publicacions Matemàtiques
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Using an appropriate definition of the multiplicity of a spectral value, we introduce a new definition of the trace and determinant of elements with finite spectrum in Jordan-Banach algebras. We first extend a result obtained by J. Zemánek in the associative case, on the connectedness of projections which are close to each other spectrally (Theorem 2.3). Secondly we show that the rank of the Riesz projection associated to a finite-rank element a and a finite subset of its spectrum is...
Sébastien Ferenczi (1997)
Colloquium Mathematicae
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Frank Okoh (1997)
Colloquium Mathematicae
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Karol Pąk (2008)
Formalized Mathematics
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In this paper I present the Jordan Matrix Decomposition Theorem which states that an arbitrary square matrix M over an algebraically closed field can be decomposed into the form [...] where S is an invertible matrix and J is a matrix in a Jordan canonical form, i.e. a special type of block diagonal matrix in which each block consists of Jordan blocks (see [13]).MML identifier: MATRIXJ2, version: 7.9.01 4.101.1015
Péter Battyányi (1996)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we examine some questions concerned with certain ``skew'' properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace. The second part of this note treats a problem in relation to the range of a generalized Jordan *-derivation.
Potemine, Igor Yu. (2001)
Beiträge zur Algebra und Geometrie
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Tian, Y. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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