Geodesic
The closeness and closability criteria for infinitesimal operators of certain semigroups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 77-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider generators of operator semigroups and study the closedness and closability properties (in a class of operators) of some of them. We obtain necessary conditions and sufficient conditions for generators to be closed operators or closeable in the class of operators.
Keywords: operator semigroups, linear relation, infinitesimal operator, generator of operator semigroups. 
@article{IVM_2011_8_a9,
     author = {A. G. Chshiev},
     title = {The closeness and closability criteria for infinitesimal operators of certain semigroups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {77--85},
     year = {2011},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_8_a9/}
}
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A. G. Chshiev. The closeness and closability criteria for infinitesimal operators of certain semigroups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 77-85. http://geodesic.mathdoc.fr/item/IVM_2011_8_a9/

[1] Khille E., Fillips R., Funktsionalnyi analiz i polugruppy, In. lit., M., 1962 | MR

[2] Baskakov A. G., “Lineinye otnosheniya kak generatory polugrupp operatorov”, Matem. zametki, 84:2 (2008), 175–192 | MR

[3] Baskakov A. G., Chernyshov K. I., “Spektralnaya teoriya lineinykh otnoshenii i vyrozhdennye polugruppy operatorov”, Matem. sb., 193:11 (2002), 3–42 | MR | Zbl