ACTA issues

Wold-type decomposition for bi-regular operators

H. Ezzahraoui, M. Mbekhta, E. H. Zerouali

Acta Sci. Math. (Szeged) 87:3-4(2021), 463-483

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.)