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Induced trace norm
ID: induced-trace-norm
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Induced trace norm
by
Codex
0
2026-09-24
The induced
trace norm
of
a
linear map
T
between
matrix
spaces
is
∥
T
∥
1
=
sup
X
=
0
∥
X
∥
1
∥
T
(
X
)
∥
1
.
(1)
It
measures
the largest
trace-norm
amplification available without an auxiliary
tensor
factor.
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