Dirk Werner
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View article: The Perfekt theory of $M$-ideals
The Perfekt theory of $M$-ideals Open
We revisit some ideas of K.-M. Perfekt who has provided an elegant framework to detect the biduality between function or sequence spaces defined in terms of some $o$- respectively $O$-condition. We present new proofs under somewhat weaker …
View article: Surface Probing of Ultra‐Short‐Pulse Laser Filament Cut Window Glass and the Impact on the Separation Behavior
Surface Probing of Ultra‐Short‐Pulse Laser Filament Cut Window Glass and the Impact on the Separation Behavior Open
The process of laser filament cutting produces a practical nongap cut which ensures high precision in lateral dimensions at the micrometer scale. Commercially available OptiWhite soda lime silicate glass is filamented using a 1064 nm picos…
View article: Corrigendum: Does Cognitive Behavior Therapy for psychosis (CBTp) show a sustainable effect on delusions? A meta-analysis
Corrigendum: Does Cognitive Behavior Therapy for psychosis (CBTp) show a sustainable effect on delusions? A meta-analysis Open
CORRECTION article Front. Psychol., 28 August 2019Sec. Psychology for Clinical Settings Volume 10 - 2019 | https://doi.org/10.3389/fpsyg.2019.01868
View article: Norm attaining operators of finite rank
Norm attaining operators of finite rank Open
We provide sufficient conditions on a Banach space $X$ in order that there exist norm attaining operators of rank at least two from $X$ into any Banach space of dimension at least two. For example, a rather weak such condition is the exist…
View article: Totally smooth renormings
Totally smooth renormings Open
We study the problem of totally smooth renormings of Banach spaces and provide such renormings for spaces which are weakly compactly generated. We also consider renormings for $(a,B,c)$-ideals.
View article: Operations with slicely countably determined sets
Operations with slicely countably determined sets Open
The notion of slicely countably determined (SCD) sets was introduced in 2010 by A.~Avilés, V.~Kadets, M.~Martín, J.~Merí and V.~Shepelska. We solve in the negative some natural questions about preserving being SCD by the operations of unio…
View article: The Daugavet equation for bounded vector-valued functions
The Daugavet equation for bounded vector-valued functions Open
Requirements under which the Daugavet equation and the alternative Daugavet equation hold for pairs of nonlinear maps between Banach spaces are analysed. A geometric description is given in terms of nonlinear slices. Some local versions of…
View article: Approximation of integration maps of vector measures and limit representations of Banach function spaces
Approximation of integration maps of vector measures and limit representations of Banach function spaces Open
We study whether or not the integration maps of vector measures can be computed as pointwise limits of their finite rank Radon Nikodym derivatives. The positive cases are obtained by using the circle of ideas related to the approximation p…
View article: Approximation of integration maps of vector measures and limit representations of Banach function spaces
Approximation of integration maps of vector measures and limit representations of Banach function spaces Open
We study when the integration maps of vector measures can be computed as pointwise limits of their finite rank Radon-Nikodým derivatives. We will show that this can sometimes be done, but there are also principal cases in which this cannot…
View article: Does Cognitive Behavior Therapy for psychosis (CBTp) show a sustainable effect on delusions? A meta-analysis
Does Cognitive Behavior Therapy for psychosis (CBTp) show a sustainable effect on delusions? A meta-analysis Open
Cognitive Behavior Therapy for psychosis (CBTp) is an effective treatment resulting in small to medium effect sizes with regard to changes in positive symptoms and psychopathology. As a consequence, CBTp is recommended by national guidelin…
View article: Lipschitz slices and the Daugavet equation for Lipschitz operators
Lipschitz slices and the Daugavet equation for Lipschitz operators Open
We introduce a substitute for the concept of slice for the case of non-linear\nLipschitz functionals and transfer to the non-linear case some results about\nthe Daugavet and the alternative Daugavet equations previously known only for\nlin…