Identity Operator

The identity operator on a vector space is the linear operator defined by

for every . If is a nonzero normed space, then is a bounded operator with operator norm 1.

See also

Bounded Operator, Identity Function, Identity Map, Linear Operator, Operator Norm

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Weisstein, Eric W. "Identity Operator." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IdentityOperator.html

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