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On the bases of the spaces L1[0, 1] and C[0, 1]

✍ Scribed by F. G. Arutyunyan


Publisher
SP MAIK Nauka/Interperiodica
Year
1972
Tongue
English
Weight
254 KB
Volume
11
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


On spline bases in periodic Hardy spaces
✍ P. Oswald πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 459 KB

In the present paper we consider periodic spline systems in order to obtain SCHAUDEB bases for the real HARDY spaces Hp(T) (0 < p 5 1) defined on the one-dimensional torus T . In a recent note [la] we have shown that the periodic FFLANKLIN system forms a basis in H J T ) if 112 < p < 1. Obviously,

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✍ 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.