The comparison of bounded convergence domains of regular matrices (Q1083626)

Using quotient representations \textit{H. Baumann} [ibid. 100, 147-162 (1967; Zbl 0148.290)] characterized the comparison of bounded convergence domains of regular matrices. This theorem was proved again by the author [ibid. 148, 285-294 (1976; Zbl 0311.40005)] with two-norm methods. Making use of similar methods the author [ibid. 181, 71-81 (1982; Zbl 0476.40003)] gave a characterization of the comparison of \(\mu\)-bounded domains of regular matrices, and that with certain continuity conditions. A detailed examination of the proof of this theorem leads to a similar characterization in the case of bounded domains.