2 citations · 6 across the 14 of their papers we have counts for
18 papers
Locally octahedral and locally almost square Köthe-Bochner spaces
Jan-David Hardtke
It has been proved in [J.-D. Hardtke, J. Math. Phys. Anal. Geom. 16, no.2, 119--137 (2020)] that a Köthe-Bochner space is locally octahedral/locally almost square if has…
A remark on nearness spaces
Jan-David Hardtke
We give a proof of the well-known fact that the category of nearness spaces is bireflective in the category of merotopic spaces which uses Zorn's Lemma instead of the usual constru…
On Buckingham's -Theorem
Jan-David Hardtke
Roughly speaking, Buckingham's -Theorem provides a method to "guess" the structure of physical formulas simply by studying the dimensions (the physical units) of the involved qu…
Higher derivatives of the inverse tangent function and a summation formula involving binomial coefficients
Jan-David Hardtke
In 2017, O. Deiser and C. Lasser obtained an explicit formula for the -th derivative of the inverse tangent function. We calculate this derivative by a different method based on…
Some convexity properties in direct integrals and Köthe-Bochner spaces
Jan-David Hardtke
The notion of direct integrals introduced by Haydon, Levy and Raynaud in 1991 is a generalisation of the well-known concept of Köthe-Bochner spaces of vector-valued functions (usin…
Summands in locally almost square and locally octahedral spaces
Jan-David Hardtke
We study the question whether properties like local/weak almost squareness and local octahedrality pass down from an absolute sum to the summands and .