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self-adjoint_operator [2014/03/21 11:17] nikolaj |
self-adjoint_operator [2014/03/21 11:20] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $V$...Hilbert space | | | @#55CCEE: context | @#55CCEE: $V$...Hilbert space | | ||
| - | | @#FFBB00: definiendum | @#FFBB00: $A\in \mathrm{it}(V)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $A\in \mathrm{it}$ | |
| | @#AAFFAA: inclusion | @#AAFFAA: $A:V\to V$ | | | @#AAFFAA: inclusion | @#AAFFAA: $A:V\to V$ | | ||
| + | | @#FFFDDD: for all | @#FFFDDD: $v,w\in V$ | | ||
| | @#55EE55: postulate | @#55EE55: $\langle v\,\left|\right.\,A\,w\rangle = \langle A\,v\,\left|\right.\,w\rangle$ | | | @#55EE55: postulate | @#55EE55: $\langle v\,\left|\right.\,A\,w\rangle = \langle A\,v\,\left|\right.\,w\rangle$ | | ||
