Abstract
Let $A_{2n}^{(m)}$ be a generalization of a tridiagonal algebra which is defined in the introduction. In this paper it is proved that if $\varphi;A_{2n}^{(m)}\rightarrow A_{2n}^{(m)}$ is a surjective isometry, then there exists a unitary operator $U$ such that $\varphi(A)=U^{*}AU$ for all $A$ in $A_{2n}^{(m)}$ or a unitary operator $W$ such that $\varphi(A)=W^{l}AW^{*}$ for all $A$ in $A_{2n}^{(m)}$, where ${}^{t}A$ is the transpose matrix of $A$.
Citation
Dae Yeon Ha. Young Soo Jo. "Isometries of a generalized tridiagonal algebras $A^{(m)}_{2n}$." Tsukuba J. Math. 18 (1) 165 - 174, June 1994. https://doi.org/10.21099/tkbjm/1496162462
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