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On the powers of Voiculescu's circular element

Ferenc Oravecz (2001)

Studia Mathematica

The main result of the paper is that for a circular element c in a C*-probability space, ( c , c n * ) is an R-diagonal pair in the sense of Nica and Speicher for every n = 1,2,... The coefficients of the R-series are found to be the generalized Catalan numbers of parameter n-1.

On the principle of local reflexivity

Ehrhard Behrends (1991)

Studia Mathematica

We prove a version of the local reflexivity theorem which is, in a sense, the most general one: our main theorem characterizes the conditions which can be imposed additionally on the usual local reflexivity map provided that these conditions are of a certain general type. It is then shown how known and new local reflexivity theorems can be derived. In particular, the compatibility of the local reflexivity map with subspaces and operators is investigated.

On the product property of the Carathéodory pseudodistance

José M. Isidro, Jean-Pierre Vigué (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We prove that, for certain domains D , continuous product of domains D ω , the Carathéodory pseudodistance satisfies the following product property C D f , g = sup ω C D ω f ω , g ω

Currently displaying 1421 – 1440 of 1948