2-Local isometries on vector-valued differentiable functions

Let H be a complex separable Hilbert space with $\dim H \geq 2$ . Let $\mathcal {N}$ be a nest on H such that $E_+ \neq E$ for any $E \neq H, E \in \mathcal {N}$ . We prove that every 2-local isometry of $\operatorname {Alg}\mathcal {N}$ is a surjective linear isometry.

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2-Local isometries on vector-valued differentiable functions

Cited by 2 publications

References 25 publications

Variants of 2-local maps on function algebras

Variants of 2-local maps on function algebras

2-Local Isometries of Some Nest Algebras

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