4 citations · 7 across the 22 of their papers we have counts for
3 papers · 1 filter
Boundedness of the averaging projections in nonlocally convex Lorentz sequence spaces and applications to basis theory
Fernando Albiac, José L. Ansorena, Miguel Berasategui
We study the boundedness of averaging projections associated with symmetric Schauder bases in quasi-Banach spaces. Although this property is standard in the Banach setting, it is f…
Isometric renormings for greedy bases in Banach spaces, with applications to the Haar System in ,
Fernando Albiac, José L. Ansorena, Miguel Berasategui +1
We investigate the problem of improving the greedy-type constant of a basis by means of an equivalent renorming of the ambient Banach space. Our main result shows that if a Banach…
Dictionary-Restricted First-Order Descent Methods: Bounds and Convergence Rates
Miguel Berasategui, Pablo M. Berná, Antonio Falcó
This paper develops a general theory for first-order descent methods whose search directions are restricted to a prescribed dictionary in a reflexive Banach space. Instead of assum…