Operator-valued n-harmonic measure in the polydisc

@article{AndersOlofsson2004,
abstract = {An operator-valued multi-variable Poisson type integral is studied. In Section 2 we obtain a new equivalent condition for the existence of a so-called regular unitary dilation of an n-tuple T=(T₁,...,Tₙ) of commuting contractions. Our development in Section 2 also contains a new proof of the classical dilation result of S. Brehmer, B. Sz.-Nagy and I. Halperin. In Section 3 we turn to the boundary behavior of this operator-valued Poisson integral. The results obtained in this section improve upon an earlier result proved by R. E. Curto and F.-H. Vasilescu in [3].},
author = {Anders Olofsson},
journal = {Studia Mathematica},
keywords = {-harmonic Poisson integral; von Neumann inequality; regular unitary dilation},
language = {eng},
number = {3},
pages = {203-216},
title = {Operator-valued n-harmonic measure in the polydisc},
url = {http://eudml.org/doc/286288},
volume = {163},
year = {2004},
}

TY - JOUR
AU - Anders Olofsson
TI - Operator-valued n-harmonic measure in the polydisc
JO - Studia Mathematica
PY - 2004
VL - 163
IS - 3
SP - 203
EP - 216
AB - An operator-valued multi-variable Poisson type integral is studied. In Section 2 we obtain a new equivalent condition for the existence of a so-called regular unitary dilation of an n-tuple T=(T₁,...,Tₙ) of commuting contractions. Our development in Section 2 also contains a new proof of the classical dilation result of S. Brehmer, B. Sz.-Nagy and I. Halperin. In Section 3 we turn to the boundary behavior of this operator-valued Poisson integral. The results obtained in this section improve upon an earlier result proved by R. E. Curto and F.-H. Vasilescu in [3].
LA - eng
KW - -harmonic Poisson integral; von Neumann inequality; regular unitary dilation
UR - http://eudml.org/doc/286288
ER -