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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.
DOI: 10.14232/actasm-020-399-2
AMS Subject Classification
(1991): 47A15; 47B37
Keyword(s):
Wold-type decomposition,
regular and bi-regular operators,
Moore--Penrose inverse,
Cauchy dual
received 18.11.2020, revised 10.7.2021, accepted 30.7.2021. (Registered under 149/2020.)
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