On the Geometry of Müntz Spaces
Let Λ={λk}k=1∞ satisfy 0<λ1<λ2<⋯, ∑k=1∞1/λk<∞ and infk(λk+1-λk)>0. We investigate the Müntz spaces MpΛ=span¯{tλk:k=1,2,…}⊂Lp(0,1) for 1≤p≤∞. We show that, for each p, there is a Müntz space Fp which contains isomorphic copies of all Müntz spaces as complemented subspaces. Fp is uniqu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/787291 |