FUNCTION BASES FOR TOPOLOGICAL VECTOR SPACES
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, cilt.33, sa.2, ss.335-353, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 2
- Basım Tarihi: 2009
- Doi Numarası: 10.12775/tmna.2009.023
- Dergi Adı: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.335-353
- İnönü Üniversitesi Adresli: Evet
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]).