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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

3 votes
2 answers
296 views

Basis equivalent with a monotone basis

Given a basis in a Banach space $X$, can one find, for every $\varepsilon>0$, an equivalent basis with basis constant at most $1+\varepsilon$? In $L_p[0,1]$ with $1<p<\infty$ any monotone basis is un …