Geodesic
Norms of certain rational functions of a matrix and Schur's criterion for polynomials
Commentationes Mathematicae Universitatis Carolinae, Tome 19 (1978) no. 4, pp. 673-688 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 12D10, 15A42, 30C10, 30C15, 34D99, 46C10, 47A30 
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Young, N. J. Norms of certain rational functions of a matrix and Schur's criterion for polynomials. Commentationes Mathematicae Universitatis Carolinae, Tome 19 (1978) no. 4, pp. 673-688. http://geodesic.mathdoc.fr/item/CMUC_1978_19_4_a4/

[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

[3] V. PTÁK: Isometric parts of operators and the critical exponent. Časopis pro pěstování matematiky 101 (1976), 383-388. | MR

[4] V. PTÁK N. J. YOUNG: Functions of operators and the spectral radius. (to appear). | MR

[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 | Zbl