Approximation in Müntz Spaces MΛ,p of Lp Functions for 1 < p < ∞ and Bases
نویسندگان
چکیده
منابع مشابه
A NOTE ON THE SPACES Lp FOR 0 < p < 1
It is shown that there is no Hausdorff vector topology p on the space Lp (where 0 < p < 1) such that the unit ball of Lp is relatively compact for the topology p. It is well known that the space L1 (0, 1) is not a dual Banach space; this follows from the Krein-Milman theorem. It is not even isomorphic to a dual space, by a result due to Gelfand [2] (see Bessaga and Pelczyn'ski [1] and Namioka [...
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Tamás Erdélyi and William B. Johnson Abstract. Denote by span{f1, f2, . . . } the collection of all finite linear combinations of the functions f1, f2, . . . over R. The principal result of the paper is the following. Theorem (Full Müntz Theorem in Lp(A) for p ∈ (0,∞) and for compact sets A ⊂ [0, 1] with positive lower density at 0). Let A ⊂ [0, 1] be a compact set with positive lower density a...
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THE “ FULL MÜNTZ THEOREM ” IN L p [ 0 , 1 ] FOR 0 < p < ∞ Tamás Erdélyi and William
Tamás Erdélyi and William B. Johnson Abstract. Denote by span{f1, f2, . . . } the collection of all finite linear combinations of the functions f1, f2, . . . over R. The principal result of the paper is the following. Theorem (Full Müntz Theorem in Lp(A) for p ∈ (0,∞) and for compact sets A ⊂ [0, 1] with positive lower density at 0). Let A ⊂ [0, 1] be a compact set with positive lower density a...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2017
ISSN: 2227-7390
DOI: 10.3390/math5010010