Biorthogonal Systems in Banach Spaces

By P. Hájek, V. Zizler, J. Vanderwerff, Vicente Montesinos Santalucía. 2007

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Lebesgue inequalities for the greedy algorithm in general bases (2016, background): “stem such that B = {en} has dense span in Xand 0 < κ1 ≤ kenk,ke∗ nk ≤ κ2 < ∞. Examples include (semi-normalized) Schauder bases B, as well as more general structures (such as Markushevich bases [11]). As suggested in [24, 25], greedy algorithms can be considered in this generality, by formally”
Convex Functions: Constructions, Characterizations and Counterexamples (2010, background): “Some further information concerning spaces with this property may be found in [247].”