Turkish Journal of Mathematics
DOI
10.3906/mat-2012-97
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 $\mathcal{ H}$.
Keywords
Nonlinear preserver problem, algebraic operators, algebraic singularity
First Page
617
Last Page
623
Recommended Citation
IZADI, ZYNAB and SOLTANI, RAHMAT
(2021)
"Maps on $\mathcal{S}(\mathcal{H})$ preserving the difference of noninvertible algebraic operators,"
Turkish Journal of Mathematics: Vol. 45:
No.
1, Article 39.
https://doi.org/10.3906/mat-2012-97
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss1/39
