Visualitza Departament: Matemàtiques per autoria "16720983-6341-4bf3-b49e-140bdc21c320"
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A characterization of a local vector valued Bollobás Theorem
Dantas, Sheldon; Rueda Zoca, Abraham Springer Nature (2021-07-30)In this paper, we are interested in giving two characterizations for the so-called property Lo,o, a local vector valued Bollobás type theorem. We say that (X, Y) has this property whenever given ε>0 and an operador T:X→Y, ... -
Comunidades de práctica predoctorales: Diez años del Seminari Predoc en la Facultat de Ciències Matemàtiques
Calvo Bayarri , Gabriel; Castillo-Medina, Jaime; Cosme Llópez, Enric; Dantas, Sheldon; Giménez Conejero, Roberto; Martínez-Minaya, Joaquín; Reula Martín, Miguel Universitat Politècnica de València (2022-07-06)The Seminari Predoc is a community of practice organised by PhD students together with the Faculty of Mathematical Sciences of the Valencia University. The aim of these seminars is to help participants to refine and ... -
Daugavet points in projective tensor products
Dantas, Sheldon; Jung, Mingu; Rueda Zoca, Abraham Oxford University Press (2021-08-04)In this paper, we are interested in studying when an element z in the projective tensor product X⊗ˆπY turns out to be a Daugavet point. We prove first that, under some hypothesis, the assumption of X⊗ˆπY having the Daugavet ... -
Norm-attaining lattice homomorphisms
Dantas, Sheldon; Martínez Cervantes, Gonzalo; Rodríguez Abellán, José David; Rueda Zoca, Abraham EMS (European Mathematical Society) (2021-07-26)In this paper we study the structure of the set Hom(X,R) of all lattice homomorphisms from a Banach lattice X into R. Using the relation among lattice homomorphisms and disjoint families, we prove that the topological dual ... -
Norm-attaining operators which satisfy a Bollobás type theorem
Dantas, Sheldon; Jung, Mingu; Roldán, Óscar Springer (2021-04)In this paper, we are interested in studying the set A(parallel to center dot parallel to) (X, Y) of all norm-attaining operators T from X into Y satisfying the following: given epsilon > 0, there exists eta such that if ... -
On the existence of non-norm-attaining operators
Dantas, Sheldon; Jung, Mingu; Martínez Cervantes, Gonzalo Cambridge University Press (2021-07-09)In this article, we provide necessary and sufficient conditions for the existence of non-norm-attaining operators in L(E,F) . By using a theorem due to Pfitzner on James boundaries, we show that if there exists a ... -
Some remarks on the weak maximizing property
Dantas, Sheldon; Jung, Mingu; Martínez Cervantes, Gonzalo Elsevier (2021-06-16)A pair of Banach spaces is said to have the weak maximizing property (WMP, for short) if for every bounded linear operator T from E into F, the existence of a non-weakly null maximizing sequence for T implies that T attains ... -
The Bishop-Phelps-Bollobás properties in complex Hilbert space
Choi, Yun Sung; Dantas, Sheldon; Jung, Mingu Wiley (2021-12-02)In this paper, we consider theBishop–Phelps–Bollobás point propertyfor variousclasses of operators on complex Hilbert spaces, which is a stronger property thanthe Bishop–Phelps–Bollobás property. We also deal with analogous ...