FUNCTION BASES FOR TOPOLOGICAL VECTOR SPACES
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Juliusz Schauder Ctr Nonlinear Studies
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Our main interest in this work is to characterize certain operator spaces acting on some important vector-valued function spaces such),CA as (V(a))(c0)(a is an element of A), by introducing a new kind basis notion for general Topological vector spaces. Where A is an infinite set, each V(a) is a Banach space and (V(a))(c0)(a is an element of A) is the linear space of all functions x: A -> boolean OR V(a) such that, for each epsilon > 0, the set {a is an element of A : parallel to x(a)parallel to > epsilon} is finite or empty. This is especially important for the vector-valued sequence spaces (V(i))(c0)(i is an element of N) because of its fundamental place in the theory of the operator spaces (see, for example, [12]).
Açıklama
Anahtar Kelimeler
Biorthogonal systems, Schauder bases, generalization of bases, operators on function spaces, vector-valued function spaces, representation of operators
Kaynak
Topological Methods in Nonlinear Analysis
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
33
Sayı
2
