Let Alg ℒ be a tridiagonal algebra which was introduced by F. Gilfeather and D. Larson. In this paper it is proved that if φ : Alg ℒ→ Alg ℒ is a linear surjective isometry, then there exist unitary operators W and V such that φ(A) = WAV for all A ∈ Alg ℒ.
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