Structural properties of some function spaces
Küçük Resim Yok
Tarih
2004
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Ferrando and Ludkovsky (J. Math. Anal. Appl. 274 (2002) 577-585), have investigated some structral properties of the function space c(0) (A, X) for a Hausdorff locally convex space X. In this work, we are mainly interested in the space l (A, X) of all unordered absolute summable functions from a set A into a Hausdorff locally convex space X. The main result of the work is the representation of the elements of l(A, X) and c(0)(A, X). These representations are related with the separability of the spaces and provide us to obtain continuous duals of l(A, X) and c(0)(A, X) for a normed space X. This improves the Ferrando and Ludkovsky's investigation with geometric aspects. (C) 2004 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
representations, vector-valued function space, continuous dual, locally convex space
Kaynak
Nonlinear Analysis-Theory Methods & Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
59
Sayı
6
