Every infinite triangular matrix is similar to a generalized infinite Jordan matrix

DOI10.1080/03081087.2016.1235678zbMath1390.15041OpenAlexW2523929196MaRDI QIDQ4975114

Roksana Słowik

Publication date: 3 August 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1235678

zbMATH Keywords

Jordan canonical forminfinite matrixinfinite dimensional vector space

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (5)

Infinite matrices in the theory of orthogonal polynomials ⋮ Sums of square-zero infinite matrices revisited ⋮ Locally algebraic linear operators and their centralizers ⋮ Maximal and minimal triangular matrices ⋮ On a generalized Jordan form of an infinite upper triangular matrix

Cites Work

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• The Jordan form of a bitriangular operator
• Jordan canonical form of Pascal-type matrices via sequences of binomial type
• On the Jordan form in a unitary space
• An Algorithmic Derivation of the Jordan Canonical Form
• A new proof of Jordan canonical forms of a square matrix
• An Elementary Approach to Jordan Theory
• Another Elementary Approach to the Jordan Form
• An Elementary Approach to the Jordan Form of a Matrix

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