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math.FA2026★ 1 cited
The lattice structure of negative Sobolev and extrapolation spaces
Sahiba Arora, Jochen Glück, Felix L. Schwenninger
It is well-known that the Sobolev spaces are vector lattices with respect to the pointwise almost everywhere order if , but not if .…
math.FA2025
A functional representation approach to vector lattice covers for spaces of compact operators
Onno van Gaans, Jochen Glück, Anke Kalauch
For ordered normed vector spaces , we consider the space of bounded linear operators and characterize when its cone of positive operators has non-empty int…
math.FA2024
A note on the Huijsmans-de Pagter problem on finite dimensional ordered vector spaces
Catalin Badea, Jochen Glück
A classical problem posed in 1992 by Huijsmans and de Pagter asks whether, for every positive operator on a Banach lattice with spectrum , the inequality $T \ge…