Linear maps preserving Kronecker quotients
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DOI: 10.1016/j.laa.2018.07.021
Abstract: Abstract We study linear preserver problems connected to the Kronecker quotients. Characterizations of the linear preservers of uniform Kronecker quotients are obtained and examples of such linear preservers are given. read more here.
Keywords: preserving kronecker; linear maps; kronecker; kronecker quotients ... See more keywords
Maps preserving matrices of extremal scrambling index
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DOI: 10.1515/spma-2018-0014
Abstract: Abstract In this paper we characterize surjective linear maps on matrices over antinegative semirings that preserve the set of matrices with maximal or minimal positive values of the scrambling index. read more here.
Keywords: index; matrices extremal; maps preserving; scrambling index ... See more keywords
Nonlinear maps preserving Drazin invertible operators of bounded index
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
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