Geodesic
Use of bundles of locally convex spaces in problems of convergence of~semigroups of operators.~II
Eurasian mathematical journal, Tome 7 (2016) no. 4, pp. 46-78.

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B. Silvestri. Use of bundles of locally convex spaces in problems of convergence of~semigroups of operators.~II. Eurasian mathematical journal, Tome 7 (2016) no. 4, pp. 46-78. http://geodesic.mathdoc.fr/item/EMJ_2016_7_4_a3/

[1] N. Bourbaki, Algebre, v. 1, Diffusion, C.C.L.S, 1970 | Zbl

[2] N. Bourbaki, General topology, v. 1, 2, Springer-Verlag, 1989

[3] N. Bourbaki, Topological vector spaces, Springer-Verlag, 1989 | MR

[4] N. Bourbaki, Integration, v. I, II, Springer-Verlag, 2003

[5] O. Bratteli, D. W. Robinson, Operator algebras and quantum statistical mechanics, v. I, $C^*$- and $W^*$- algebras, symmetry groups, decomposition of states, 2 ed., Springer-Verlag, New York–Heidelberg–Berlin, 1987 | MR | Zbl

[6] V. I. Burenkov, P. D. Lamberti, “Spectral stability of Dirichlet second order uniformly elliptic operators”, J. Differential Equations, 244:7 (2008), 1712–1740 | DOI | MR | Zbl

[7] V. I. Burenkov, P. D. Lamberti, “Spectral stability of general non-negative self-adjoint operators with applications to Neumann-type operators”, J. Differential Equations, 233:2 (2007), 345–379 | DOI | MR | Zbl

[8] W. Chojnacki, “Multiplier algebras, Banach bundles, and one-parameter semigroups”, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 28:2 (1999), 287–322 | MR | Zbl

[9] N. Dunford, J. T. Schwartz, Linear operators, v. 1, 2, 3, Wiley Interscience, 1988 | MR

[10] J. M. Fell, R. S. Doran, Representations of sp*-algebras, locally compact groups, and Banach sp*-algebraic bundles, v. 1, 2, Pure and Applied Mathematics, 126, Academic Press, Inc., Boston, MA, 1988 | MR | Zbl

[11] G. Gierz, Bundles of topological vector spaces and their duality, Lecture Notes in Mathematics, 955, Springer-Verlag, 1982 | DOI | MR | Zbl

[12] H. Jarchow, Locally convex spaces, B. G. Teubner, 1981 | MR | Zbl

[13] T. Kato, Perturbation theory for linear operators, Springer-Verlag, 1980 | MR | Zbl

[14] T. G. Kurtz, “Extensions of Trotter's operator semigroup approximation theorems”, J. Functional Analysis, 3 (1969), 354–375 | DOI | MR | Zbl

[15] P. D. Lamberti, M. Lanza de Cristoforis, “A real analyticity result for symmetric functions of the eigenvalues of a domain-dependent Neumann problem for the Laplace operator”, Mediterr. J. Math., 4:4 (2007), 435–449 | DOI | MR | Zbl

[16] M. Lanza de Cristoforis, “Singular perturbation problems in potential theory and applications”, Complex analysis and potential theory, World Sci. Publ., Hackensack, NJ, 2007, 131–139 | DOI | MR | Zbl

[17] M. Lanza de Cristoforis, “Asymptotic behavior of the solutions of the Dirichlet problem for the Laplace operator in a domain with a small hole, A functional analytic approach”, Analysis (Munich), 28:1 (2008), 63–93 | MR | Zbl

[18] B. Silvestri, “Integral equalities for functions of unbounded spectral operators in Banach spaces”, Dissertationes Math., 464 (2009), 60, arXiv: 0804.3069v2 | DOI | MR | Zbl

[19] B. Silvestri, “Use of bundles of locally convex spaces in problems of convergence of semigroups of operators. I”, Eurasian Math. J., 7:3 (2016), 53–88 | MR

[20] B. Silvestri, “Use of bundles of locally convex spaces in problems of convergence of semigroups of operators. III”, Eurasian Math. J., 8:1 (2017) (to appear) | MR

[21] M. Takesaki, Theory of operator algebras II, Springer-Verlag, 2003 | MR | Zbl

[22] K. Yosida, Functional analysis, Springer-Verlag, 1980 | MR | Zbl