On the Trotter--Kato Theorem in a Variable Space
Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 4, pp. 22-29

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In this paper, the proof of a Trotter–Kato type theorem in a variable Banach space is given and some special cases and examples are considered.
Mots-clés : convergence in a variable space
Keywords: two-scale convergence, resolvent convergence, Trotter–Kato theorem.
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     author = {V. V. Zhikov and S. E. Pastukhova},
     title = {On the {Trotter--Kato} {Theorem} in a {Variable} {Space}},
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V. V. Zhikov; S. E. Pastukhova. On the Trotter--Kato Theorem in a Variable Space. Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 4, pp. 22-29. http://geodesic.mathdoc.fr/item/FAA_2007_41_4_a1/