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Complemented Subspaces and Interpolation Properties in Spaces of Polynomials

✍ Scribed by Manuel Valdivia


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
322 KB
Volume
208
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


Complemented Subspaces of Spaces of Mult
✍ FΓ©lix Cabello SΓ‘nchez πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 84 KB

Among other things, we show that L is isomorphic to a complemented q subspace of the space of multilinear forms on L = ΠΈΠΈΠΈ = L , where q G 1 is given by 1rp q ΠΈΠΈΠΈ q1rp q 1rq s 1. The proof strongly depends on the L -1 n Ο± module structure of the spaces L .

Complemented Copies of l1 in Orlicz Spac
✍ Shutao Chen; Henryk Hudzik; Huying Sun πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 468 KB
Interpolation properties of Besov spaces
✍ Amiran Gogatishvili; Pekka Koskela; Nageswari Shanmugalingam πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 198 KB

## Abstract Let __X__ = (__X__, __d__, __ΞΌ__)be a doubling metric measure space. For 0 < __Ξ±__ < 1, 1 ≀__p__, __q__ < ∞, we define semi‐norms equation image When __q__ = ∞ the usual change from integral to supremum is made in the definition. The Besov space __B~p, q~^Ξ±^__ (__X__) is the set of th