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math.FA2011★ 23 cited
Perturbation theory for normal operators
Armin Rainer
Let be a -mapping with values unbounded normal operators with common domain of definition and compact resolvent. Here stands for $C…
math.FA2011★ 8 cited
The Convenient Setting for Denjoy--Carleman Differentiable Mappings of Beurling and Roumieu Type
Andreas Kriegl, Peter W. Michor, Armin Rainer
We prove in a uniform way that all Denjoy--Carleman differentiable function classes of Beurling type and of Roumieu type , admit a convenient setting if the we…