19 citations · 23 across the 6 of their papers we have counts for
8 papers · 1 filter
A new complemented subspace for the Lorentz sequence spaces, with an application to its lattice of closed ideals
Ben Wallis
We show that every Lorentz sequence space admits a 1-complemented subspace distinct from and containing no isomorph of . In the gene…
Subrearrangement-invariant function spaces
Ben Wallis
Rearrangement-invariance in function spaces can be viewed as a kind of generalization of 1-symmetry for Schauder bases. We define subrearrangement-invariance in function spaces as…
Closed ideals of operators acting on some families of sequence spaces
Ben Wallis
We study the lattice of closed ideals in the algebra of continuous linear operators acting on th Tandori and th Cesàro sequence spaces, , which we show…
Weight-almost greedy bases
Stephen J. Dilworth, Denka Kutzarova, Vladimir Temlyakov +1
We introduce the notion of a \textit{weight-almost greedy} basis and show that a basis for a real Banach space is -almost greedy if and only if it is both quasi-greedy and -d…
The weighted Property (A) and the greedy algorithm
P. M. Berná, S. J. Dilworth, D. Kutzarova +2
We investigate various aspects of the "weighted" greedy algorithm with respect to a Schauder basis. For a weight w, we describe w-greedy, w-almost-greedy and w-partially-greedy bas…
Optimality of the rearrangement inequality with applications to Lorentz-type sequence spaces
Fernando Albiac, Jose L. Ansorena, Denny Leung +1
We characterize the sequences of non-negative numbers for which \[ \sum_{i=1}^\infty a_i w_i \quad \text{ is of the same order as } \quad \sup_n \sum_{i=1}^n a…