Limits of J-class operators

Geng Tian, Bingzhe Hou
2014 Proceedings of the American Mathematical Society  
The purpose of the present work is to answer an open problem which was raised by G. Costakis and A. Manoussos in their paper "J-class operators and hypercyclicity", J. Operator Theory 67 (2012), 101-119. More precisely, we give the spectral description of the closure of the set of J-class operators acting on a separable Hilbert space.
doi:10.1090/s0002-9939-2014-11891-0 fatcat:g4u3kwgionaz7l3brr2pwivew4