Jñānābha, Vol. 49 (1) (2019), 97-106
HYPERCYCLIC PAIR WHOSE COMPONENTS ARE DIRECT SUMS OF IDENTICAL HYPERCYCLIC OPERATORS
Neema Wilberth, Santosh Kumar and Marco Mpimbo
Department of Mathematics
College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania
Email:firstname.lastname@example.org, email@example.com and
(Received : March 01, 2019 ; Revised: June 15, 2019)
This paper provides an answer to the question raised by Feldman  which states that "If (T1, T2) is a hypercyclic pair, is (T1⊕T1; T2⊕T2) also a Hypercyclic Pair?" Some examples are provided to support the results.
2010 Mathematics Subject Classifications: 47A16, 47A15.
Keywords and phrases: Hypercyclic pair, Hypercyclic criterion, Countably hypercyclic, Hypercyclic vector, Orbit, dense orbit.