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Abstract. In this paper we characterize the compact, invertible and Fredholm multiplication operators on Cesàro sequence spaces. Introduction and preliminariesLet N be the set of positive integers. The Cesàro sequence space Cespl 2 pNqq is defined asThe space Cespl 2 pNqq is a Banach space under the normCesàro sequence spaces Let u : X Ñ C be a function such that u.f P Cespl 2 pNqq for every f P Cespl 2 pNqq. Then we can define a multiplication transformation M u : Cespl 2 pNqq Ñ Cespl 2 pNqq by M u f " u.f, @ f P Cespl 2 pNqq.

The main purpose of this paper is to study generalized multiplication operators on weighted hardy spaces.

A study of centered composition operators on l2 is made in this paper. Also the spectrum of surjective composition operators is computed. A necessary and sufficient condition is obtained for the closed unit disc to be the spectrum of a surjective composition operator.

The main purpose of this paper is to study multiplication operators on weighted Hardy spaces.