FREDHOLEM COMPACT OPERATOR ON SEQUENCE SPACES OF POWER ONE

Abstract

Sequence spaces l_p^1 and l_p^(-1) , p ∈[1,∞) were introduced and were proved as Banach spaces [3] . In this paper, these spaces are studied as Hilbert spaces and quasi- Hilbert spaces. Not all these spaces are quasi- Hilbert spaces or Hilbert spaces. Bounded linear operators which were defined on these spaces are used to define others types of operators such as compact operators and Fredholem operators.