Results 1 to 10 of about 27 (27)
Linear maps preserving equivalence or asymptotic equivalence on Banach space
Open Mathematics, 2023 Let XX be a complex Banach space with dimension at least two and B(X)B\left(X) the algebra of all bounded linear operators on XX. We show that a bijective linear map Φ\Phi preserves asymptotic equivalence if and only if it preserves equivalence, and in ...
Qin Zijie, Chen Lin
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Lattice isomorphisms between projection lattices of von Neumann algebras
Forum of Mathematics, Sigma, 2020 Generalizing von Neumann’s result on type II $_1$ von Neumann algebras, I characterise lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means of ring isomorphisms between the algebras of locally measurable ...
Michiya Mori
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Ascent, descent and additive preserving problems [PDF]
, 2019 Given an integer n ≥ 1, we provide a complete description of all additive surjective maps, on the algebra of all bounded linear operators acting on a complex separable infinite-dimensional Hilbert space, preserving in both directions the set of all ...
OUDGHIRI, Mourad, SOUILAH, Khalid
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Maps preserving the nilpotency of products of operators [PDF]
, 2007 This paper is dedicated to Professor Roger Horn on the occasion of his 65th birthday. Let B(X) be the algebra of all bounded linear operators on the Banach space X, and let N (X) be the set of nilpotent operators in B(X).
Nung-sing Sze +5 more
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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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Linear maps preserving the Cullis’ determinant. III
Special MatricesThis paper is the third in the series of papers devoted to the explicit description of linear maps preserving the Cullis’ determinant of rectangular matrices of size n × k with entries belonging to an arbitrary ground field which is large enough. In this
Guterman Alexander, Yurkov Andrey
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Linear maps between C*-algebras that are *-homomorphisms at a fixed point
, 2019 Let A and B be C*-algebras. A linear map T : A → B is said to be a*-homomorphism at an element z ∈ A if ab*= z in A implies T(ab*) = T(a) T(b)*= T(z), and c*d = z in A gives T(c * d) = T(c) * T(d) = T(z): Assuming that A is unital, we prove that every ...
Burgos, María J. +2 more
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Some of the next articles are maybe not open access.
Isometries and relative entropy preserving maps on density operators
Linear and Multilinear Algebra, 2012Lajos Molnár, Gergo Nagy
exaly
Orthogonality preserving transformations on the set of $n$-dimensional subspaces of a Hilbert space
Illinois Journal of Mathematics, 2004Peter Šemrl
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