Left and right resolvents and new characterizations of left and right generalized Drazin invertible operators
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DOI: 10.2298/fil2301021o
Abstract: Left and right resolvents of left and right generalized Drazin invertible operators are introduced in this paper. The construction of left and right resolvents allows us to find, in terms of the coefficients of Laurent… read more here.
Keywords: drazin invertible; generalized drazin; right generalized; left right ... See more keywords
Nonlinear maps preserving Drazin invertible operators of bounded index
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DOI: 10.2989/16073606.2019.1573766
Abstract: Abstract Given an integer n ≥ 1, we provide a complete description of all bijective bicontinuous maps, on the algebra of all bounded linear operators acting on an infinite-dimensional complex or real Banach space, that… read more here.
Keywords: index; maps preserving; nonlinear maps; invertible operators ... See more keywords