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math.FA2013
On special cases of Radon - Nikodym theorem for vector and operator valued measures
S. S. Boiko, V. K. Dubovoy, A. Y. Kheifets
We present a natural and simple proof of the Radon - Nikodym theorem for measures with values in the space of bounded linear operators on a separable Hilbert space. This space is n…
math.FA2009
Shift Operators Contained in Contractions, Pseudocontinuable Schur Functions and Orthogonal Systems on the Unit Circle
Vladimir K. Dubovoy, Bernd Fritzsche, Bernd Kirstein
The main aim of this paper is to establish the connection between well-known criteria for the pseudocontinuability of a non-inner Schur function Theta in the unit disk. In a canoni…