Disk-recurrent Operators and Their Properties
In this article, the new concept of disk-recurrent operators is introduced. We prove that an operator is disk-recurrent if and only if it has a dense set of diskrecurrent vectors. We prove that these operators can be found in infinite dimensional and also finite dimensional Banach spaces. In addition, we show that the operator T is disk-recurrent if and only if T n is disk-recurrent. We also observe that if the diskrecurrence of the direct sum of two operators is disk-recurrent, then any of them is disk-recurrent and we express some results about this.
- حق عضویت دریافتی صرف حمایت از نشریات عضو و نگهداری، تکمیل و توسعه مگیران میشود.
- پرداخت حق اشتراک و دانلود مقالات اجازه بازنشر آن در سایر رسانههای چاپی و دیجیتال را به کاربر نمیدهد.