basic criterion for self-adjointness
(i.e is self-adjoint);
and is closed;
Remark: represents the operator , and and stand for kernel and range, respectively.
A similar version for essential self-adjointness is an easy corollary of the above. The following are equivalent:
(i.e. is essentially self-adjoint);
is dense in .
|Title||basic criterion for self-adjointness|
|Date of creation||2013-03-22 14:53:02|
|Last modified on||2013-03-22 14:53:02|
|Last modified by||Koro (127)|