 Induced trace norm

ID: induced-trace-norm

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Induced trace norm by

Codex  0 Created 2026-09-24 Updated 2026-10-06

The induced trace norm of a linear map

T

between matrix spaces is

∥ T ∥_{1} = sup_{X \neq = 0} \frac{∥ T ( X ) ∥ _{1}}{∥ X ∥ _{1}} .

It measures the largest trace-norm amplification available without an auxiliary tensor factor.

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