Common spectral properties of linear operators A and B satisfying AkBkAk = Ak+1 and BkAkBk = Bk+1
2019 ◽
Vol 12
(05)
◽
pp. 1950084
Keyword(s):
Let [Formula: see text] and [Formula: see text] be two bounded linear operators on a Banach space [Formula: see text] and [Formula: see text] be a positive integer such that [Formula: see text] and [Formula: see text], then [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] have some common spectral properties. Drazin invertibility and polaroidness of these operators are also discussed. Cline’s formula for Drazin inverse in a ring with identity is also studied under the assumption that [Formula: see text] for some positive integer [Formula: see text].
2013 ◽
Vol 846-847
◽
pp. 1286-1290
2001 ◽
Vol 70
(2)
◽
pp. 189-198
◽
1996 ◽
Vol 38
(3)
◽
pp. 367-381
◽
Keyword(s):
2019 ◽
Vol 35
(2)
◽
pp. 171-184
◽
Keyword(s):
Keyword(s):
Keyword(s):
2016 ◽
Vol 160
(3)
◽
pp. 413-421
◽