Self-adjoint operator - Axioms of Choice

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Self-adjoint operator

Set

context	$V$ …Hilbert space
definiendum	$A\in \mathrm{it}$
inclusion	$A:V\to V$
for all	$v,w\in V$
postulate	$\langle v\,\left\|\right.\,A\,w\rangle = \langle A\,v\,\left\|\right.\,w\rangle$

Discussion

Reference

Wikipedia: Self-adjoint operator

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