Ming-Huat Lim

TL;DR: In this paper, the authors characterize linear mappings L on U that satisfy one of the following properties: (i) L(adjA)=adjL(A) for all A in U; (ii) L preserves idempotent matrices, and L(In)=In, where F is the real field R or the complex field C.

TL;DR: In this article, a linear map L on n X n matrices such that (i) L(Ak) = L(A)k for all A, where k is a fixed integer ⩾ 2; or (ii) L preserves idempotent or tripotent matrices, respectively.

TL;DR: In this article, the tensor product of two finite dimensional vector spaces U and V over an infinite field was studied and the linear transformations T on U⊗V such that (TDk )⊆Dk were obtained.

TL;DR: In this paper, the authors characterize surjective mappings T from G m (V) onto itself such that for any A, B in G m(V), the distance between A and B is not greater than k if and only if T (A) and T (B) is not more than k.

TL;DR: In this article, the additive mappings from one vector space of symmetric matrices to another which preserve rank less than or equal to one were studied, over a field of characteristic not 2 or 3, which preserve decomposable elements of the form λu · u where u is a vector and λ is a scalar.