Livšic’s theorem for q-Sturm—Liouville operators
2016 ◽
Vol 53
(4)
◽
pp. 512-524
In this paper, we study dissipative q-Sturm—Liouville operators in Weyl’s limit circle case. We describe all maximal dissipative, maximal accretive, self adjoint extensions of q-Sturm—Liouville operators. Using Livšic’s theorems, we prove a theorem on completeness of the system of eigenvectors and associated vectors of the dissipative q-Sturm—Liouville operators.
2012 ◽
Vol 16
(6)
◽
pp. 2035-2052
◽
1980 ◽
Vol 86
(3-4)
◽
pp. 275-289
◽
Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):
2001 ◽
Vol 254
(1)
◽
pp. 178-190
◽
Keyword(s):
Keyword(s):
1945 ◽
Vol 12
(2)
◽
pp. 255-273
◽