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In the present work we characterize full operators and show some properties for bounded below nonfull operators. Under the results developed for full operators, we afiirrmatively respond two questions formulated by Bravo and Feintuch about algebras generated by invertible operators. ; The author's research was partially supported by a "Misión Ciencia" Research Fellowship (Venezuelan Government) ; peerReviewed

In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions

In this paper, we present a concept of nC- symmetric operator as follows: Let A be a bounded linear operator on separable complex Hilbert space , the operator A is said to be nC-symmetric if there exists a positive number n (n such that CAn = A*ⁿ C (An = C A*ⁿ C). We provide an example and study the basic properties of this class of operators. Finally, we attempt to describe the relation between nC-symmetric operator and some other operators such as Fredholm and self-adjoint operators.

"This note focuses on a sequence of linear positive operators of integral
type in the sense of Kantorovich. The construction is based on a class of discrete
operators representing a new variant of Jain operators. By our statements, we
prove that the integral family turns out to be useful in approximating continuous
signals de ned on unbounded intervals. The main tools in obtaining these results
are moduli of smoothness of rst and second order, K-functional and Bohman-
Korovkin criterion."