On Subspace Codisk-Cyclicity
Abstract
Let N be a subspace of an infinite dimensional complex separable on a Hilbert space ℋ. The operator T ∈ ℬ(ℋ) is said to be N-codisk-cyclic, if there is a nonzero vector y in ℋ, then N ∩ {βTn y: β ∈ ℂ, |β| ≥ 1, n ∈ ℕ} is dense in N. This paper, introduces the properties of the concepts N-codisk-cyclic and N-codisk-cyclic transitive. The existence of a subspace codisk-cyclic operator on n -dimensional complex Hilbert space is illustrated and a criterion of N-codisk-cyclic operator in infinite dimensional is obtained.
Author
Jamil, Zeana Z.
Hamada, Nuha H.