Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
DEMONSTRATE MATHEMATICAVol. XXXVINo 22003Hidetaka Hamada, Hiroumi SegawaAN ELEMENTARY PROOF OF A SCHWARZ LEMMAFOR THE SYMMETRIZED BIDISCAbstract. Agler-Young obtained a Schwarz lemma for the symmetrized bidisc. Theirproof uses an earlier result of them whose proof is operator-theoretic in nature. They posedthe 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 symmetrizedbidisc.1. IntroductionLetr = {(Ai + A 2 , A i A 2 ) : | A i | < l , | A 2 | < l }be the symmetrized bidisc. Agler-Young [2] obtained a Schwarz lemma foranalytic functions ip from the unit disc D to T with y?(0) = (0,0). Theirproof uses a result in Agler-Young [1] whose proof is operator-theoretic innature. However, the nature of the assertion for the Schwarz lemma for thesymmetrized bidisc is purely function-theoretic. So, they posed the questionto give an elementary proof of the Schwarz lemma for the symmetrizedbidisc.In this paper, we will give an elementary proof of the Schwarz lemma forthe symmetrized bidisc.A Schwarz lemma for the symmetrized bidisc throws light on the spectralNevanlinna-Pick problem, which is to interpolate from the unit disc to theset
Demonstratio Mathematica – de Gruyter
Published: Apr 1, 2003
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.