Geodesic
The closeness and closability criteria for infinitesimal operators of certain semigroups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 77-85

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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},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     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/