By Juan Carlos Ferrando, Manuel López-Pellicer
Descriptive topology and practical research, with large fabric demonstrating new connections among them, are the topic of the 1st part of this paintings. purposes to areas of constant services, topological Abelian teams, linear topological equivalence and to the separable quotient challenge are integrated and are awarded as open difficulties. the second one part is dedicated to Banach areas, Banach algebras and operator thought. every one bankruptcy provides loads of valuable and significant contemporary theorems with an summary discussing the cloth within the bankruptcy. every one bankruptcy can virtually be noticeable as a survey protecting a selected area.
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Extra resources for Descriptive Topology and Functional Analysis: In Honour of Jerzy Kakol’s 60th Birthday
Math. 36(4), 331–334 (1994) 56. : Basic sequences and the Hahn-Banach extension property. Acta Sci. Math. (Szeged), 59(1–2), 161–171 (1994) 57. : Strongly Lindelöf spaces, Baire-type property and sequential closure conditions for inductive limits of metrizable spaces. , Domanski, P. ) Functional Analysis, pp. 227–239. Walter de Gruyter, Berlin (1996) 58. : A note on the Baire and the ultrabornological property of spaces Cp (X, E). Arch. Math. (Basel) 67, 493–499 (1996) 59. : Report on the book J.
Anal. Appl. : Descriptive topology in non-archimedean function spaces Cp (X, K). Part I. Bull. Lond. Math. Soc. : Non-archimedean function spaces and the Lebesgue dominated convergence theorem. Bull. Belg. Math. Soc. : Note about Lindelöf Σ-spaces υX. Bull. Aust. Math. Soc. : Descriptive topology in selected topics of functional analysis. Developments in Mathematics, vol. 24. Springer, New York (2011) (xii+493 pp. : On a three-space property for Lindelöf Σ-spaces, (WCG)-spaces and the Sobczyk property.
In spite of the numerical evidence concerning the exact location on the line x = 1/2 of the first ten trillion of zeros of Γ (z), in the present paper we show that the zeros of its partial sums Γn (z) := nk=1 1/k z , n > 2, situated in the critical strip are placed in such a way that their real projections define a set dense in itself. 6) in this paper). A similar result for the truncations nk=1 (−1)k−1 1/k z of the alternating Dirichlet k−1 1/k z was given in [9, Theorem 1]. series → k=1 (−1) The position and distribution of the zeros of exponential polynomials has been a subject studied, mostly in the first third of twentieth century, due to its relation with the theory of differential equations (see [2, 12, 14, 34, 35, 39]).
Descriptive Topology and Functional Analysis: In Honour of Jerzy Kakol’s 60th Birthday by Juan Carlos Ferrando, Manuel López-Pellicer