1 citations · 1 across the 7 of their papers we have counts for
7 papers
Banach spaces with the weak diametral diameter two property
Juan Guerrero-Viu, Miguel Martín, 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 Martín +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 Daugavet property is equivalent to the polynomial Daugavet property
Sheldon Dantas, Miguel Martín, Yoël Perreau
In this note, we prove that the Daugavet property implies the polynomial Daugavet property, solving a longstanding open problem in the field. Our approach is based on showing that…
The super Alternative Daugavet property for Banach spaces
Johann Langemets, Marcus Lõo, Miguel Martín +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 Río, 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…
Banach spaces with small weakly open subsets of the unit ball and massive sets of Daugavet and -points
Christian Cobollo, Daniel Isert, Ginés López-Pérez +6
We prove that there exists an equivalent norm on with the following properties: (1) The unit ball of $(L_\infty[0,1],\Vert\vert\cdot\ver…
The Daugavet equation for polynomials on C-algebras and JB-triples
David Cabezas, Miguel Martín, Antonio M. Peralta
We prove that every JB-triple (in particular, every -algebra) satisfying the Daugavet property also satisfies the stronger polynomial Daugavet property, that is, every…