Research Interest
- Functional Analysis, especially Operator Theory for Evolution Equations
(Functional Calculus and Semigroup Theory)
Preprints and Publications
-
Operator-valued H^oo-calculus in inter- and
extrapolation spaces,
to appear in: Integral Equations and Operator Theory, 2006.
-
Perturbation, interpolation, and maximal
regularity,
with B. Haak, P.C. Kunstmann, Advances in
Differential Equations 11 (2), 201-240, 2006.
-
A functional calculus description of real interpolation
spaces for sectorial operators,
Studia Mathematica 171 (2), 177-195, 2005.
-
Convexity inequalities for positive
operators,
preprint, 2004.
-
Identification of some real interpolation
spaces,
to appear in: Proc. Amer. Math. Soc., 2006.
-
A general framework for holomorphic functional calculi,
Proc. Edin. Math. Soc. 48 (2005), 423-444.
-
A spectral mapping theorem for holomorphic functional calculi,
Journal of the London Math. Soc. (2) 71 (2005), 723-739.
-
The Functional Calculus for Sectorial Operators,
book manuscript, 2005; to appear in:
Operator Theory: Advances and Applications, Birkhäuser
Verlag, Basel
-
The Functional Calculus for Sectorial Operators
and Similarity Methods,
Ph.D. Thesis, 2003.
-
Spectral properties of operator logarithms,
Mathematische Zeitschrift 245 (2003), 761-779.
-
A characterization of group generators on Hilbert spaces
and the H^\infty-calculus,
Semigroup Forum 66 (2003), 288-304.
-
A decomposition theorem for generators of
strongly continuous groups on Hilbert spaces,
Journal of Operator Theory 52 (2004), 21 - 37.
-
Forms, BIP and Liapunov's theorem,
with W. Arendt and S. Bu,
Archiv der Mathematik 77 (2001), 65-75.
-
Ramseytheorie und die Stone-Cech-Kompaktifizierung diskreter Halbgruppen,
Diplomarbeit an der Universität Tübingen, 1997.
Learning Output (Selbstvergewisserungen)
Other Interests
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