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math.FA2026
The spectrum of operator extensions to free Banach Lattices
Jochen Glück, Phillip Krokor
Every bounded linear operator on a complex Banach space is known to extend to a lattice homomorphism that acts on the so-called complex free Banach lattice o…
math.FA2024
Increasing sequences in ordered Banach spaces -- new theorems and open problems
Jochen Glück
An ordered Banach space is said to have the Levi property or to be regular if every increasing order bounded net (equivalently, sequence) is norm convergent. We prove four theo…