1982/01/01 by Carl de Boor, Shmuel Friedland, Allan Pinkus · 1 citation
Computer Science · Engineering · Mathematics · #Matrix Theory and Algorithms #graph theory and CDMA systems #Advanced Topics in Algebra
paper · pdf · doi:10.1090/s0002-9947-1982-0670918-7
openalex publication_date 1982/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
Let A be an infinite sign regular (sr) matrix which can be viewed as a bounded linear operator from l_∞ to itself. It is proved here that if the range of A contains the sequence ( … ,1, - 1,1, - 1, … ), then A is onto. If A - 1 exists, then DA - 1D is also sr, where D is the diagonal matrix with diagonal entries alternately 1 and - 1. In case A is totally positive (tp), then DA - 1D is also tp under additional assumptions on A.