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math.FA2025
Lower-Order Refinements of Greedy Approximation
Kevin Beanland, Hung Viet Chu, Thomas Schlumprecht +1
For two countable ordinals and , a basis of a Banach space is said to be -quasi-greedy if it is 1) quasi-greedy, 2) -unconditional but not $\mathc…
math.FA2024
Higher Order Tsirelson Spaces and their Modified Versions are Isomorphic
Hung Viet Chu, Thomas Schlumprecht
We prove that for every countable ordinal , the Tsirelson's space of order , is naturally, i.e., via the identity, -isomorphc to its modified version. For the first…