Abstract. We show in this paper that a Wold-type decomposition holds for the class of regular operators with regular Moore--Penrose inverse. We also give several examples and investigate various properties of such class of operators.
AMS Subject Classification
(1991): 47A15; 47B37
regular and bi-regular operators,
received 18.11.2020, revised 10.7.2021, accepted 30.7.2021. (Registered under 149/2020.)