Sachindranath Jayaraman, Vatsalkumar N. Mer
Published 2022-12-06Version 1
The objective of this short note is to understand the structure of an invertible linear map on the space of real symmetric matrices $\mathcal{S}^n$ that leaves invariant the closed convex cones of copositive and completely positive matrices ($COP_n$ and $CP_n$). A description of an invertible linear map on $\mathcal{S}^2$ such that $L(CP_2) \subset CP_2$ is completely determined.
Linear preservers of majorization on $\ell^p(I)$
A note on linear preservers on semipositive and minimal semipositive matrices
On generalization of Williamson's theorem to real symmetric matrices
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