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Authors
Affiliations
1 Department of Mathematics, Nagpur University, University Campus, Amravati Road, Nagpur, IN
Source
The Journal of the Indian Mathematical Society, Vol 38, No 1-4 (1974), Pagination: 147-154
Abstract
Let X be a Banach Space and L [X, X] the space of continuous linear operators on X. For T ∈ L [X, X] let An = 1/n (T+ T2 + . . . + Tn), n = l,2, ... To discuss the convergence properties of {An} when T is a compact operator, Higgins [2] used spectral decomposition and the properties of collectively compact sets of operators.