Operator-valued n-harmonic measure in the polydisc

• Autorzy: Anders Olofsson
• Języki publikacji: EN

Abstrakty

EN

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].

Kategorie tematyczne

• 47A25: Spectral sets
• 31C99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 163
• Numer: 3
• Strony: 203-216

Daty

wydano

2004

Twórcy

autor

Anders Olofsson

• Falugatan 22 1tr, SE-113 32 Stockholm, Sweden

Identyfikatory

DOI

10.4064/sm163-3-1