Norms of certain rational functions of a matrix and Schur's criterion for polynomials

N. J. Young

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 4, page 673-688
  • ISSN: 0010-2628

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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 019.4 (1978): 673-688. <http://eudml.org/doc/16929>.

@article{Young1978,
author = {Young, N. J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {673-688},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Norms of certain rational functions of a matrix and Schur's criterion for polynomials},
url = {http://eudml.org/doc/16929},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Young, N. J.
TI - Norms of certain rational functions of a matrix and Schur's criterion for polynomials
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 4
SP - 673
EP - 688
LA - eng
UR - http://eudml.org/doc/16929
ER -

References

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  1. R. NEVANLINNA, Über beschränkte Funktionen, die in gegebenen Punkten vorgeschriebene Werte annehmen, Ann. Acad. Sci. Fennicae 13, No 1 (1919). (1919) 
  2. V. PTÁK, Norms and the spectral radius of matrices, Csechosl. Math. J. 87 (1962), 553-557. (1962) MR0146190
  3. V. PTÁK, Isometric parts of operators and the critical exponent, Časopis pro pěstování matematiky 101 (1976), 383-388. (1976) MR0458214
  4. V. PTÁK N. J. YOUNG, Functions of operators and the spectral radius, (to appear). MR0562769
  5. J. SCHUR, Über Potenzreihem, die im Innern des Einheitskreises beschränkt sind, J. für Mathematik 147 (1917), 205-232 and 148 (1918), 122-145. (1917) 
  6. N. J. YOUNG, Matrices which maximise any analytic function, to appear. Zbl0442.15012MR0565661

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