The Journal of the Indian Mathematical Society

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Some Applications of Spectral Analysis to Ergodic Theory


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1 Department of Mathematics, Nagpur University, University Campus, Amravati Road, Nagpur, India
     

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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.
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  • Some Applications of Spectral Analysis to Ergodic Theory

Abstract Views: 324  |  PDF Views: 0

Authors

M. V. Deshpande
Department of Mathematics, Nagpur University, University Campus, Amravati Road, Nagpur, India

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.