A Müntz space having no complement in 𝐿₁
Author:
Abstract
in C ( [ 0 , 1 ] ) C([0,1]) . In the present paper, we prove that there is a Müntz space not complemented in L 1 ( [ 0 , 1 ] ) L_{1}([0,1]) .
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/2008-136-01/S0002-9939-07-09090-9/S0002-9939-07-09090-9.pdf
Reference9 articles.
1. Graduate Texts in Mathematics;Borwein, Peter,1995
2. On projections in 𝐿₁;Dor, Leonard E.;Ann. of Math. (2),1975
3. Asymptotic bounds for projection operators on Lebesgue spaces;Görlich, Ernst;Integral Transform. Spec. Funct.,1995
4. Bounds for relative projection constants in 𝐿¹(-1,1);Görlich, E.;Constr. Approx.,1998
5. Lecture Notes in Mathematics;Gurariy, Vladimir I.,2005
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