The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Some Applications of Spectral Analysis to Ergodic Theory


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

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 231

PDF Views: 0




  • Some Applications of Spectral Analysis to Ergodic Theory

Abstract Views: 231  |  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.