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math.FA2010
On operator valued Hardy spaces
Denis Potapov
The note shows that the operator-valued Hardy space $\sH^1$ introduced via Littlewood-Paley -function coincides with the space of $H^1_R(\T, \sL^1)$ of all Bochner integrable op…
math.FA2010
Functions of normal operators under perturbations
Alexei Aleksandrov, Vladimir Peller, Denis Potapov +1
In \cite{Pe1}, \cite{Pe2}, \cite{AP1}, \cite{AP2}, and \cite{AP3} sharp estimates for were obtained for self-adjoint operators and and for various classes of fu…
math.FA2010
Functions of perturbed normal operators
Aleksei Aleksandrov, Vladimir Peller, Denis Potapov +1
In \cite{Pe1}, \cite{Pe2}, \cite{AP1}, \cite{AP2}, and \cite{AP3} sharp estimates for were obtained for self-adjoint operators and and for various classes of fu…