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Published in 2018 at "Linear Algebra and its Applications"
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.
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Keywords:
preserving kronecker;
linear maps;
kronecker;
kronecker quotients ... See more keywords
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Published in 2018 at "Special Matrices"
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.
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Keywords:
index;
matrices extremal;
maps preserving;
scrambling index ... See more keywords
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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…
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Keywords:
index;
maps preserving;
nonlinear maps;
invertible operators ... See more keywords