advanced-linear-algebra

The adjoint operator T*

taught

Riesz representation upgrades chapter 03's abstract dual map T* into a concrete operator on V itself, satisfying <Tu,v> = <u,T*v> -- the familiar Hermitian adjoint.

Taught in

The adjoint operator T*
Advanced Linear Algebra

Requires

riesz-representation-theorem required
the-dual-transpose-map required

Required by

Normal operators required
Schur's theorem required
Self-adjoint operators and real eigenvalues required
The four fundamental subspaces via the adjoint required
Unitary and orthogonal operators required

Local knowledge map

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