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.
Keywords
Ga ̂teaux derivative, quasi-inner product space, quasi-Hilbert space, compact operator, Fredholem operatorMetrics