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Young, N. J.
Norms of certain rational functions of a matrix and Schur's criterion for polynomials. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 4, pp. 673-688
MSC: 12D10, 15A42, 30C10, 30C15, 34D99, 46C10, 47A30 | MR 518179 | Zbl 0388.30004
References:
[1] R. NEVANLINNA: Über beschränkte Funktionen, die in gegebenen Punkten vorgeschriebene Werte annehmen. Ann. Acad. Sci. Fennicae 13, No 1 (1919).
[2] V. PTÁK: Norms and the spectral radius of matrices. Csechosl. Math. J. 87 (1962), 553-557. MR 0146190
[3] V. PTÁK: Isometric parts of operators and the critical exponent. Časopis pro pěstování matematiky 101 (1976), 383-388. MR 0458214
[4] V. PTÁK N. J. YOUNG: Functions of operators and the spectral radius. (to appear). MR 0562769
[5] J. SCHUR: Über Potenzreihem, die im Innern des Einheitskreises beschränkt sind. J. für Mathematik 147 (1917), 205-232 and 148 (1918), 122-145.
[6] N. J. YOUNG: Matrices which maximise any analytic function. to appear. MR 0565661 | Zbl 0442.15012
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