P-quasi-λ-nuclear operators between locally convex spaces

Abstract EN

In this paper we generalize the concept of 2-quasi-λ-nuclear operators between Normed spaces (λ⊆ l1) to p-quasi-λ-nuclear operators between locally convex spaces (p >0, λ⊆ l∞ ) and we study the relationship between p-quasi-λ-nuclear, nuclear operators, λ-nuclear, quasi-nuclear and quasi-λ- nuclear.

Also we prove that the composition of two operators, one of them is a p-quasi-λ-nuclear, is again a p-quasi-λ-nuclear operator