By Ball J.A., Bolotnikov V.
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Extra resources for A Bitangential Interpolation Problem on the Closed Unit Ball for Multipliers of the Arveson Space
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. Preuss. Akad. Wiss. 4 (1929), 1–18.  K. R. Davidson and D. R. Pitts, Nevanlinna–Pick interpolation for non-commutative analytic Toeplitz algebras, Integral Equations Operator Theory 31 (1998), no.
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).
T. Trent and V. A. Kaashoek Anniversary Volume (Workshop in Amsterdam, Nov. 1997), pages 89-138, OT 122, Birkhauser-Verlag, Basel-Boston-Berlin, 2001.  V. , to appear. Vol. 46 (2003) Bitangential Interpolation 163  V. Bolotnikov and H. 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.