2 citations · 6 across the 14 of their papers we have counts for
14 papers · 1 filter
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…
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 .
On certain geometric properties in Banach spaces of vector-valued functions
Jan-David Hardtke
We consider a certain type of geometric properties of Banach spaces, which includes for instance octahedrality, almost squareness, lushness and the Daugavet property. For this type…
On certain Opial-type results in Cesàro spaces of vector-valued functions
Jan-David Hardtke
Given a Banach space , we consider Cesàro spaces of -valued functions over the interval , where . We prove that if has the Opial/…
Ball generated property of direct sums of Banach spaces
Jan-David Hardtke
A Banach space is said to have the ball generated property (BGP) if every closed, bounded, convex subset of can be written as an intersection of finite unions of closed bal…