Results 1 to 10 of about 235 (37)
Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special Matrices, 2015 In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
On a problem of commutativity of automorphims
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 411-412, 1998., 1998 In this note we provide a partial answer to a problem proposed by M. Brehr. We prove that if α, β are automorphisms of a commutative prime ring of characteristic not equal to 2 satisfying the equation α + α−1 = β + β−1, then either α = β or α = β−1. As a consequence α and β commute and in this situation the equation itself ensures the commutativity of ...
M. Anwar Chaudhry, A. B. Thaheem
wiley +1 more source
Matrices induced by arithmetic functions acting on certain Krein spaces
Special Matrices, 2017 In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
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Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
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Nonlinear maps preserving bi-skew Lie triple product on factor von Neumann algebras
Demonstratio MathematicaLet A $\mathcal{A}$ and B $\mathcal{B}$ be two factor von Neumann algebras with dimensions greater than 1. It is proved that if a bijective map Φ:A→B ${\Phi} : \mathcal{A}\to \mathcal{B}$ satisfies Φ([[A,B]⋄,C]⋄)=[[Φ(A),Φ(B)]⋄,Φ(C)]⋄ ${\Phi}\left ...
Kong Liang
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Topologies on central extensions of von Neumann algebras
Open Mathematics, 2012 Ayupov Shavkat +2 more
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Some of the next articles are maybe not open access.
On preservers related to the spectral geometric mean
Linear Algebra and Its Applications, 2021Lei Li, Lajos Molnár, Liguang Wang
exaly
Linear maps between C*-algebras that are *-homomorphisms at a fixed point
Quaestiones Mathematicae, 2019María Burgos +2 more
exaly
Nonlinear maps on von Neumann algebras preserving the star order
Linear and Multilinear Algebra, 2013Martin Bohata, Jan Hamhalter
exaly