Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Last revision Both sides next revision | ||
|
self-adjoint_operator [2014/03/21 11:17] nikolaj |
self-adjoint_operator [2014/03/21 11:19] nikolaj |
||
|---|---|---|---|
| Line 2: | Line 2: | ||
| ==== 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: $\langle v\,\left|\right.\,A\,w\rangle = \langle A\,v\,\left|\right.\,w\rangle$ | | ||
