A review of some works in the theory of diskcyclic operators

• Main Authors: Bamerni, Nareen, Kilicman, Adem, Md Noorani, Mohd Salmi
• Format: Article
• Language: English
• Published: Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2016
• Online Access: http://psasir.upm.edu.my/id/eprint/43386/1/A%20review%20of%20some%20works%20in%20the%20theory%20of%20diskcyclic%20operators.pdf; http://psasir.upm.edu.my/id/eprint/43386/; http://link.springer.com/article/10.1007%2Fs40840-015-0137-x

In this paper, we give a brief review concerning diskcyclic operators and then we provide some further characterizations of diskcyclic operators on separable Hilbert spaces. In particular, we show that if x∈H has a disk orbit under T that is somewhere dense in H, then the disk orbit of x under T nee...