Linear maps preserving Kronecker quotients
Sign Up to like & getrecommendations! 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. read more here.
Keywords: preserving kronecker; linear maps; kronecker; kronecker quotients ... See more keywords
Additive maps preserving products equal to fixed elements on Cayley-Dickson algebras
Sign Up to like & getrecommendations! Published in 2024 at "Communications in Algebra"
DOI: 10.1080/00927872.2024.2431889
Abstract: Abstract– In this paper, we study additive maps f:A→A on an alternative Cayley-Dickson algebra A satisfying the product preserving property: f(x)f(y)=m whenever xy = k, where k and m are constant elements of A .… read more here.
Keywords: dickson algebras; maps preserving; cayley dickson; algebra ... See more keywords
Maps preserving matrices of extremal scrambling index
Sign Up to like & getrecommendations! 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. read more here.
Keywords: index; matrices extremal; maps preserving; scrambling index ... See more keywords
Additive maps preserving inner inverses on B(X)
Sign Up to like & getrecommendations! Published in 2024 at "Filomat"
DOI: 10.2298/fil2406923b
Abstract: Let B(X) be the algebra of all bounded linear operators on a complex Banach space X. In this paper, we determine the structures of all additive surjective maps on B(X) preserving inner inverses in both… read more here.
Keywords: maps preserving; preserving inner; algebra; inner inverses ... 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