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On the iterates of Jackson type operator <i>G<sub>S,N</sub></i> in Hilbert space
Abstract
In this paper we study the limit of the iterates of Jackson type operator. Our results continue the works of Badea [2] and Nagler et al. [9, 10]. The proofs are based on spectral theory of linear operators and are performed at first for Hilbert space and then are extended for some Banach spaces.
Mathematics Subject Classification (2010): 47A10, 41A35, 41A25.
Keywords: Bounded linear operator, limit of iterates, spectral theory, Jackson type operator
