Listar MAT_Articles por autoría "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, ... -
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 ...