Abstract

We consider the class of linear mappings, between real or complex inner product spaces, such that for each two orthogonal vectors in the domain their values are ɛ-orthogonal in the target space. By ɛ-orthogonality ( 0 ⩽ ɛ < 1 ) we mean the relation u ⊥ ɛ v ⇔ | 〈 u | v 〉 | ⩽ ɛ ‖ u ‖ ‖ v ‖ .

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