Characterization of 1-quasi-greedy bases

2015/04/16 by Fernando Albiac, Albiac, Fernando, José L. Ansorena +1 · 2 citations
Mathematics · #41A65 #46B15 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1504.04368

openalex publication_date 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a (semi-normalized) basis in a Banach space is quasi-greedy with quasi-greedy constant equal to 1 if and only if it is unconditional with suppression-unconditional constant equal to 1.

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• Enlarge Greedy Sums in Greedy-Type Properties by Different Factors
• Quasi-greedy Markushevich bases, duality and norming subspaces

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