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4 papers · 1 filter
Stochastic Banach Principle in Operator Algebras
Genady Ya. Grabarnik, Larisa Shwartz
Classical Banach principle is an essential tool for the investigation of the ergodic properties of Cesaro subsequences. The aim of this work is to extend Banach principle to the ca…
Noncommutative function theory and unique extensions
David P. Blecher, Louis E. Labuschagne
We generalize to the setting of Arveson's maximal subdiagonal subalgebras of finite von Neumann algebras, the Szegö -distance estimate, and classical theorems of F. and M. Rie…
Pure state transformations induced by linear operators
Louis Labuschagne
We generalise Wigner's theorem to its most general form possible for B(h) in the sense of completely characterising those vector state transformations of B(h) that appear as restri…
Logmodularity and isometries of operator algebras
David P. Blecher, Louis E. Labuschagne
We generalize some facts about function algebras to operator algebras, using the `noncommutative Shilov boundary' or -envelope first considered by Arveson. In the first part w…