By Jesus Araujo-gomez, Bertin Diarra, Alain Escassut

This quantity includes papers in response to lectures given on the 11th foreign convention on $p$-adic practical research, which was once held from July 5-9, 2010, in Clermont-Ferrand, France. The articles accumulated right here characteristic contemporary advancements in numerous components of non-Archimedean research: Hilbert and Banach areas, finite dimensional areas, topological vector areas and operator idea, strict topologies, areas of continuing features and of strictly differentiable capabilities, isomorphisms among Banach services areas, and degree and integration. different issues mentioned during this quantity comprise $p$-adic differential and $q$-difference equations, rational and non-Archimedean analytic capabilities, the spectrum of a few algebras of analytic services, and maximal beliefs of the ultrametric corona algebra

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Math. , Providence, RI, 2005. [66] Sequence-spaces and applications. p-Adic Mathematical Physics, 206-213, AIP Conf. , 826, Amer. Inst. , Melville, NY, 2006. [67] (with C. Perez-Garcia) The Dieudonn´e-Schwartz theorem for p-Adic inductive limits. Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 33-50. [68] (with C. Perez-Garcia) Regularity in p-Adic inductive limits. p-Adic Functional Analysis (Concepcion 2006), Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 823-844. [69] (with C. Perez-Garcia) A counterexample on non-Archimedean regularity.

Vasilache) Sur quelques propri´et´es des modules Aconvexes. Ann. Mat. Pura Appl. (4) 106 (1975), 155-169. [19] On L-bases. J. Math. Anal. Appl. 53 (1976), 508-520. [20] On a class of locally convex spaces with a Schauder basis. Indag. Math. 38 (1976), 307-312. [21] Structure theorems for locally K-convex spaces. Indag. Math. 39 (1977), 11-22. B. Robinson) Compact maps and embeddings from an inﬁnite type power series space to a ﬁnite type power series space. J. Reine Angew. Math. 293/294 (1977), 52-61.

Indag. Math. 44 (1982), 423-439. [30] Non-Archimedean nuclearity. Study group on ultrametric Analysis, 9th year: 1981/82, No. 3 (Marseille, 1982), Exp. No. J4, Inst. Henri Poincar´e, Paris, 1983. [31] The non-Archimedean space C ∞ (X). Compositio Math. 48 (1983), 297309. [32] Projective locally K-convex spaces. Indag. Math. 46 (1984), 247-254. [33] Non-Archimedean topologies of countable type and associated operators. Indag. Math. 49 (1987), 15-28. [34] Nuclear topologies on non-Archimedean locally convex spaces.