From the 1 of 3 linked papers with an AI index.
3 papers
math.FA2026
The Daugavet property is equivalent to the polynomial Daugavet property
Sheldon Dantas, Miguel MartÃn, Yoël Perreau
The authors show that the Daugavet property for Banach spaces is equivalent to its polynomial version, and they extend this equivalence to related operator and tensor product setti…
math.FA2026
A Banach space with an unconditional basis which is not slicely countably determined
Marcus Lõo, Yoël Perreau
In this note, we study the geometry of the unit ball of the Banach space generated by the adequate family of all subsets of branches of the infinite binary tree, and answer several…
math.FA2025
The super Alternative Daugavet property for Banach spaces
Johann Langemets, Marcus Lõo, Miguel MartÃn +2
We introduce the super alternative Daugavet property (super ADP) which lies strictly between the Daugavet property and the Alternative Daugavet property as follows. A Banach space…