Approximation in Müntz Spaces MΛ,p of Lp Functions for 1 < p < ∞ and Bases

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 [...

THE “ FULL MÜNTZ THEOREM ” IN L p [ 0 , 1 ] FOR

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...

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

Some Results on p-Best Approximation in Vector Spaces

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...