{ "id": "2201.12631", "version": "v1", "published": "2022-01-29T18:30:32.000Z", "updated": "2022-01-29T18:30:32.000Z", "title": "On Some Algebraic Properties of Block Toeplitz Matrices with Commuting Entries", "authors": [ "Muhammad Ahsan Khan", "Ameur Yagoub" ], "categories": [ "math.FA" ], "abstract": "Toeplitz matrices are ubiquitous and play important roles across many areas of mathematics. In this paper, we present some algebraic results concerning block Toeplitz matrices with block entries belonging to a commutative algebra $\\AA$. The characterization of normal block Toeplitz matrices with entries from $\\AA$ is also obtained.", "revisions": [ { "version": "v1", "updated": "2022-01-29T18:30:32.000Z" } ], "analyses": { "subjects": [ "15A30", "15B05" ], "keywords": [ "algebraic properties", "commuting entries", "results concerning block toeplitz matrices", "algebraic results concerning block toeplitz", "normal block toeplitz matrices" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }