FUNCTION BASES FOR TOPOLOGICAL VECTOR SPACES


Yilmaz Y.

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, cilt.33, ss.335-353, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 33 Konu: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.12775/tmna.2009.023
  • Dergi Adı: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
  • Sayfa Sayıları: ss.335-353

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]).