1 citations · 1 across the 5 of their papers we have counts for
5 papers
Building highly conditional quasi-greedy bases in classical Banach spaces
Fernando Albiac, José L. Ansorena
It is known that for a conditional quasi-greedy basis in a Banach space , the associated sequence of its conditional…
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…
1-Greedy renormings of Garling sequence spaces
Fernado Albiac, José L. Ansorena, Ben Wallis
Garling sequence spaces admit a renorming with respect to which their standard unit vector basis is 1-greedy. We also discuss some additional properties of these Banach spaces rela…
Conditional quasi-greedy bases in non-superreflexive Banach spaces
Fernando Albiac, José L. Ansorena, Przemysław Wojtaszczyk
For a conditional quasi-greedy basis in a Banach space the associated conditionality constants verify the estimate $k_{m}[\mathcal{B}]=\mathcal{O…
Existence and uniqueness of greedy bases in Banach spaces
F. Albiac, J. L. Ansorena, S. J. Dilworth +1
Our aim is to investigate the properties of existence and uniqueness of greedy bases in Banach spaces. We show the non-existence of greedy basis in some Nakano spaces and Orlicz se…