Turkish Journal of Mathematics
Abstract
The aim of this paper is to present the general structure of nonlinear surjective maps on $\mathcal S(\mathcal H)$ preserving the operator pairs in which their difference is a noninvertible algebraic operator. $\mathcal S(\mathcal H)$ represents the real Jordan algebra of bounded self-adjoint operators acting on an infinite dimensional Hilbert space $\mathcal{ H}$.
DOI
10.3906/mat-2012-97
Keywords
Nonlinear preserver problem, algebraic operators, algebraic singularity
First Page
617
Last Page
623
Recommended Citation
IZADI, Z, & SOLTANI, R (2021). Maps on $\mathcal{S}(\mathcal{H})$ preserving the difference of noninvertible algebraic operators. Turkish Journal of Mathematics 45 (1): 617-623. https://doi.org/10.3906/mat-2012-97
