TY - JOUR
T1 - A characterization of positive self-adjoint extensions and its application to ordinary differential operators
AU - Wei, Guangsheng
AU - Jiang, Yaolin
PY - 2005/10
Y1 - 2005/10
N2 - A new characterization of the positive self-adjoint extensions of symmetric operators, T0, is presented, which is based on the Friedrichs extension of T0, a direct sum decomposition of domain of the adjoint T0* and the boundary mapping of T0*. In applying this result to ordinary differential equations, we characterize all positive self-adjoint extensions of symmetric regular differential operators of order 2n in terms of boundary conditions.
AB - A new characterization of the positive self-adjoint extensions of symmetric operators, T0, is presented, which is based on the Friedrichs extension of T0, a direct sum decomposition of domain of the adjoint T0* and the boundary mapping of T0*. In applying this result to ordinary differential equations, we characterize all positive self-adjoint extensions of symmetric regular differential operators of order 2n in terms of boundary conditions.
KW - Boundary condition
KW - Friedrichs extension
KW - Positive self-adjoint extension
UR - https://www.scopus.com/pages/publications/26444491678
U2 - 10.1090/S0002-9939-05-07837-8
DO - 10.1090/S0002-9939-05-07837-8
M3 - 文章
AN - SCOPUS:26444491678
SN - 0002-9939
VL - 133
SP - 2985
EP - 2995
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 10
ER -