Representation of doubly infinite matrices as non-commutative Laurent series

DOI10.1515/spma-2017-0018zbMath1382.15055OpenAlexW2770540003MaRDI QIDQ1698560

María Ivonne Arenas-Herrera, Luis Verde-Star

Publication date: 16 February 2018

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2017-0018

zbMATH Keywords

doubly infinite matricesinfinite Hessenberg matricesnon-commutative Laurent seriesPincherle derivativessimilarity of infinite matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Special matrices (15B99)

Related Items (5)

Infinite matrices in the theory of orthogonal polynomials ⋮ Unnamed Item ⋮ Some counterexamples for Cayley-Hamilton theorem for doubly infinite matrices ⋮ Maximal and minimal triangular matrices ⋮ A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences

Cites Work

• Unnamed Item
• Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities
• Polynomial sequences generated by infinite Hessenberg matrices
• Identities induced by Riordan arrays
• Dual operators and Lagrange inversion in several variables
• Spectral factorization of bi-infinite multi-index block Toeplitz matrices
• Groups of generalized Pascal matrices
• Recursive matrices and umbral calculus
• Characterization and construction of classical orthogonal polynomials using a matrix approach
• Theorie der halbfiniten unendlichen Matrizen.
• Analytic Iteration

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