The Gearhart--Pr\"uss Theorem for a Class of Degenerate Semigroups of Operators
Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 426-440

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We consider a class of semigroups of operators in Hilbert space whose generators are linear relations. An analog of the Gearhart–Prüss theorem for semigroups of operators from the class under consideration is obtained.
Keywords: semigroups of operators in Hilbert space, Gearhart–Prüss theorem, linear relation, complex Hilbert space, infinitesimal operator, exponential dichotomy.
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     author = {A. G. Chshiev},
     title = {The {Gearhart--Pr\"uss} {Theorem} for a {Class} of {Degenerate} {Semigroups} of {Operators}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {3},
     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a9/}
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A. G. Chshiev. The Gearhart--Pr\"uss Theorem for a Class of Degenerate Semigroups of Operators. Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 426-440. http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a9/