Vol. 140, No. 1, 1989

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Isometries of tridiagonal algebras

Young Soo Jo

Vol. 140 (1989), No. 1, 97–115
Abstract

Let Alg 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 is a linear surjective isometry, then there exist unitary operators W and V such that φ(A) = WAV for all A Alg .

Mathematical Subject Classification 2000
Primary: 47D25
Secondary: 46L99
Milestones
Received: 5 November 1987
Revised: 20 June 1988
Published: 1 November 1989
Authors
Young Soo Jo