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Complemented Copies of l1 in Orlicz Spaces

✍ Scribed by Shutao Chen; Henryk Hudzik; Huying Sun


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
468 KB
Volume
159
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Asymptotically Isometric Copies of c0 an
✍ Patrick N. Dowling; Narcisse Randrianantoanina πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 138 KB

Let X be a Banach space and Β΅ be a finite measure space. It is shown that if 1 ≀ p < ∞ resp 1 < p < ∞ , the Bochner space L p Β΅ X contains asymptotically isometric copies of c 0 resp l 1 if and only if X does.

FrΓ©chet Spaces of Holomorphic Functions
✍ Manuel Valdivia πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 464 KB

Let X be a Banach space. Let ?i,.(X\*) the M e t space whose elements are the holomorphic functions defined on X\* whose restrictions to each multiple mB(X\*), m = 1,2, . . . , of the closed unit ball B ( X \* ) of X\* are continuous for the weak-star topology. A fundamental Hystem of norms for this

On Multifunctionals in the Musielak-Orli
✍ Andrzej Kasperski πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 327 KB

## Abstract We introduce the notions of __X__~d,s(x),Ο†~‐linear multifunctional and __X__~d,s(x),Ο†~‐linear continuous multifunctional. We generalize the theorems on linear bounded functionals in the Musielak‐Orlicz space.

An Optimal Interpolation Theorem of Marc
✍ Andrea Cianchi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 352 KB

An extension of the Marcinkiewicz interpolation theorem is proved, yielding a necessary and sufficient condition for every quasilinear operator, satisfying given endpoint estimates of weak type, to be bounded from an Orlicz space into another. 1998 Academic Press in the last three papers mentioned