By Ball J.A., Bolotnikov V.
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Additional info for A Bitangential Interpolation Problem on the Closed Unit Ball for Multipliers of the Arveson Space
Dym, On degenerate interpolation, entropy and extremal problems for matrix Schur functions, Integral Equations Operator Theory, 32 (1998), No. 4, 367–435.  V. Bolotnikov and H. Dym, On boundary interpolation for matrix Schur functions, Preprint MCS99-22, Department of Mathematics, The Weizmann Institute of Science, Israel. I. V. Gusev and A. Lindquist, From finite covariance windows to modeling filters: a convex optimization approach, SIAM Review 43(4) (2001), 645-675. ¨  C. Carath´eodory, Uber die Winkelderivierten von beschr¨ ankten analytischen Funktionen, Sitzungber.
The space H(kd , E, E∗ ) can (and will) be identiﬁed with the tensor product Hilbert space H(kd ) ⊗ L(E, E∗ ). For multiindicies n = (n1 , . . , nd ) ∈ Nd we shall use the standard notations n1 + n2 + . . n2 ! . nd ! , z1n1 z2n2 . . zdnd = z n . Vol. 8]) that in the metric of H(kd ), n! if n=m z n , z m H(kd ) = |n|! 6) n! ∗ Fn Fn ∈ L(E) . |n|! The next step is to introduce the operator–valued sesquilinear form n! ∗ [X, Y ]H(kd ) = Y Xn , |n|! 7) n∈N which makes sense and is L(E1 , E2 )-valued for every choice of Yn z n ∈ H(kd , E1 , E) Y (z) = Xn z n ∈ H(kd , E2 , E).
R→1 1 − r2 lim References  M. Abate, Angular derivatives in strongly pseudoconvex domains, Proc. Sympos. , 52 (1991), 23–40.  J. Agler and J. E. McCarthy, Complete Nevanlinna-Pick kernels, J. Funct. , 175 (2000), 111–124.  N. G. Kre˘ın, Some questions in the theory of moments, Article II, Translations of Mathematical Monographs, Amer. Math. , 1962.  D. Alpay, V. Bolotnikov and T. Kaptano˘ glu, The Schur algorithm and reproducing kernel Hilbert spaces in the ball, Linear Algebra Appl.