Results 211 to 220 of about 22,882 (222)

Norm attaining operators and James’ Theorem

2001
Abstract There are several results relating isomorphic properties of a Banach space and the set of norm attaining functionals. Here, we show versions for operators of some of these results. For instance, a Banach space X has to be reflexive if it does not contain l1 and for some non trivial Banach space Y and positive r, the unit ball of the space ...
M.D. Acosta, J. Becerra Guerrero, M. Ruiz Galán   +2 more
openaire   +1 more source

On operators which attain their norm

Israel Journal of Mathematics, 1963
The following problem is considered. LetX andY be Banach spaces. Are those operators fromX toY which attain their norm on the unit cell ofX, norm dense in the space of all operators fromX toY? It is proved that this is always the case ifX is reflexive.
openaire   +1 more source

Norm-attaining operators into Lorentz sequence spaces

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2009
We prove that the Lorentz sequence spaces do not have the property B of Lindenstrauss. In fact, for any admissible sequences w, v ∈ c0 \ l1, the set of norm-attaining operators from the Orlicz space hϕ(w) (ϕ is a certain Orlicz function) into d(v, 1) is not dense in the corresponding space of operators.
openaire   +1 more source

On quasi norm attaining operators between Banach spaces

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022
Geunsu Choi, Yun Sung Choi, Mingu Jung
exaly  

Weak-star quasi norm attaining operators

Journal of Mathematical Analysis and Applications, 2022
Mingu Jung, Miguel Martin, Geunsu Choi
exaly  

Some remarks on minimum norm attaining operators

Journal of Mathematical Analysis and Applications, 2020
Uday Shankar Chakraborty
exaly  

On the closure of absolutely norm attaining operators

Linear and Multilinear Algebra, 2023
exaly  

Operator Norm Attainment

Arpita Mal, Kallol Paul, Debmalya Sain
openaire   +1 more source

Norm optimization problem for linear operators in classical Banach spaces

Bulletin of the Brazilian Mathematical Society, 2009
Eduardo V Teixeira
exaly  

Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions

Archiv Der Mathematik, 2012
José Bonet Solves
exaly