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math.SP 1

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Distances between operators acting on different Hilbert spaces

math.SP · 2024-12-17 · conditional · novelty 7.0

For self-adjoint operators with 0 in the essential spectrum, the unitary, isometric, and spectral distances on different Hilbert spaces coincide; the quasi-unitary distance is equivalent to them up to a universal constant.

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  • Distances between operators acting on different Hilbert spaces math.SP · 2024-12-17 · conditional · none · ref 8

    For self-adjoint operators with 0 in the essential spectrum, the unitary, isometric, and spectral distances on different Hilbert spaces coincide; the quasi-unitary distance is equivalent to them up to a universal constant.