TY - CHAP
T1 - Interpolation
T2 - Operator-valued case
AU - Alpay, Daniel
AU - Colombo, Fabrizio
AU - Sabadini, Irene
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - In classical Schur analysis, operator-valued functions appear naturally in a number of different settings, of which we mention: 1. The characteristic operator function, when the imaginary part of the operator is not of finite rank (but possibly trace class, or of Hilbert–Schmidt class). See for instance [110, 111, 242]. 2. The time-varying case, when the complex numbers are replaced by diagonal operators. See [40, 161, 162, 163]. 3. Interpolation in the Hardy space of the polydisk. One can reduce the problem to an operator-valued problem in one variable. The values are then assumed to be Hilbert-Schmidt operators. See [23, 24].
AB - In classical Schur analysis, operator-valued functions appear naturally in a number of different settings, of which we mention: 1. The characteristic operator function, when the imaginary part of the operator is not of finite rank (but possibly trace class, or of Hilbert–Schmidt class). See for instance [110, 111, 242]. 2. The time-varying case, when the complex numbers are replaced by diagonal operators. See [40, 161, 162, 163]. 3. Interpolation in the Hardy space of the polydisk. One can reduce the problem to an operator-valued problem in one variable. The values are then assumed to be Hilbert-Schmidt operators. See [23, 24].
UR - http://www.scopus.com/inward/record.url?scp=85006324036&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-42514-6_11
DO - 10.1007/978-3-319-42514-6_11
M3 - Chapter
AN - SCOPUS:85006324036
T3 - Operator Theory: Advances and Applications
SP - 309
EP - 331
BT - Operator Theory
PB - Springer International Publishing
ER -