From the 1 of 5 linked papers with an AI index.
5 papers
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…
Banach spaces with the weak diametral diameter two property
Juan Guerrero-Viu, Miguel MartÃn, Abraham Rueda Zoca
We introduce and systematically study the weak diametral diameter two property (weak-DD2P), a new geometric property that lies strictly between the diametral diameter two property…
Transfinite Daugavet property
Antonio Avilés, Johann Langemets, Miguel MartÃn +1
We extend the Daugavet property and a perfect version of it to transfinite cardinals in order to distinguish between spaces with the ordinary Daugavet property by some kind of comp…
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…
Range strongly exposing operators between Banach spaces
Geunsu Choi, Helena del RÃo, Audrey Fovelle +2
We introduce a new class of bounded linear operators, called range strongly exposing (RSE) operators, which form a natural intermediate class: weaker than Bourgain's absolutely str…