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A double vertical bar delimiter representing vector norms, operator norms, or matrix norms in linear algebra.

\rVert image

Examples

Vector norm notation

\rVert v \rVert = \sqrt{x^2 + y^2 + z^2}

Matrix norm

\rVert A \rVert = \sup_{x \neq 0} \frac{\rVert Ax \rVert}{\rVert x \rVert}

Function norm in a Hilbert space

\rVert f \rVert_2 = \left(\int_a^b |f(x)|^2 dx\right)^{1/2}