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In this work, we present a spectral theorem for this type of operators and show how the theory of multiple orthogonal polynomials apply.<\/p>","DOI":"10.1090\/conm\/807\/16163","type":"other","created":{"date-parts":[[2024,11,4]],"date-time":"2024-11-04T13:11:42Z","timestamp":1730725902000},"page":"1-17","source":"Crossref","is-referenced-by-count":4,"title":["Banded matrices and their orthogonality"],"prefix":"10.1090","author":[{"given":"Am\u00edlcar","family":"Branquinho","sequence":"first","affiliation":[]},{"given":"Ana","family":"Foulqui\u00e9-Moreno","sequence":"additional","affiliation":[]},{"given":"Manuel","family":"Ma\u00f1as","sequence":"additional","affiliation":[]}],"member":"14","reference":[{"key":"1","isbn-type":"print","volume-title":"Theory of linear operators in Hilbert space","author":"Akhiezer, N. 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