5 citations · 5 across the 3 of their papers we have counts for
5 papers
Operators with the Kato property on Banach spaces
Mar Jiménez Sevilla, Sebastián Lajara López, Miguel Ángel Ruiz Risueño
We consider a class of bounded linear operators between Banach spaces, which we call operators with the Kato property, that includes the family of strictly singular operators betwe…
Norming subspaces of Banach spaces
Vladimir P. Fonf, Sebastian Lajara, Stanimir Troyanski +1
We show that, if is a closed subspace of a Banach space and is a closed subspace of such that is norming for and is total over (as well as is…
Inversion of nonsmooth maps between Banach spaces
Jesús A. Jaramillo, Sebastián Lajara, Óscar Madiedo
We study the invertibility nonsmooth maps between infinite-dimensional Banach spaces. To this end, we introduce an analogue of the notion of pseudo-Jacobian matrix of Jeyakumar and…
Weakly compactly generated Banach lattices
Antonio Avilés, Antonio J. Guirao, Sebastián Lajara +2
We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice , the existen…
Moduli of convexity and smoothness of reflexive subspaces of L^1
S. Lajara, A. Pallares, S. Troyanski
We show that for any probability measure μthere exists an equivalent norm on the space L^1(μ) whose restriction to each reflexive subspace is uniformly smooth and uniformly convex,…