An elementary proof a Schwarz lemma for the symmetrized bidisc

• Autorzy: Hamada H , Segawa H.
• Języki publikacji: EN

Abstrakty

EN

Agler-Young obtained a Schwarz lemma for the symmetrized bidisc. Their proof uses an earlier result of them whose proof is operator-theoretic in nature. They posed the question to give an elementary proof of the Schwarz lemma for the symmetrized bidisc. In this paper, we give an elementary proof of the Schwarz lemma for the symmetrized bidisc.

Słowa kluczowe

EN

symmetrized bidisc; Schwarz lemma

PL

lemat Schwarza

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 2
• Strony: 329--334
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Hamada H

• Faculty of Engineering, Kyushu Sangyo University, 3-1 Matsukadai 2-chome, Higashi-Ku, Fukuoka 813-8503, Japan

autor

Segawa H.

• Faculty of Engineering, Kyushu Sangyo University, 3-1 Matsukadai 2-chome, Higashi-Ku, Fukuoka 813-8503, Japan

Bibliografia

• [1] J. Agler, N. J. Young, A commutant lifting theorem for a domain in C2 and spectral interpolation, J. Funct. Anal. 161 (1999), 452-477.
• [2] J. Agler, N. J. Young, A Schwarz lemma for the symmetrized bidisc, Bull. London Math. Soc. 33 (2001), 175-186.
• [3] Matlab μ-analysis and synthesis toolbox, The MathWorks Inc., Natick, MA, http://www.mathworks.com/products/muanalysis/.
• [4] V. Pták, N. J. Young, A generalization of the zero location theorem of Schur and Cohn, IEEE Trans. Automat. Control 25 (1980), 978-980.
• [5] I. Schur, Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind, J. für Math. 147 (1917), 205-232, 148 (1918), 122-145.