By Juan Carlos Ferrando, Manuel López-Pellicer
Descriptive topology and sensible research, with huge fabric demonstrating new connections among them, are the topic of the 1st element of this paintings. purposes to areas of continuing features, topological Abelian teams, linear topological equivalence and to the separable quotient challenge are integrated and are provided as open difficulties. the second one part is dedicated to Banach areas, Banach algebras and operator idea. every one bankruptcy provides loads of precious and demanding fresh theorems with an summary discussing the fabric within the bankruptcy. each one bankruptcy can nearly be obvious as a survey masking a specific zone
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Extra resources for Descriptive Topology and Functional Analysis: In Honour of Jerzy Kakol's 60th Birthday
This is equivalent to saying that every such sequence S is, itself, relatively weakly compact, since S ∞∞ is the weak closure of a countable set of suitable rational linear combinations of points in S. Therefore, (ii) X is a P-space if and only if every bounded sequence in C p (X ) is relatively compact. The beautifully simple statements (i) and (ii) do not require any knowledge of the weak barrelledness that motivated them. Now Γ→ -barrelled ∗ property (C) ∗ property (S) ∗ dlc ∗ primitive, as Fig.
Bull. Lond. Math. Soc. 44(5), 899–912 (2012) 51. : Non-archimedean quantitative Grothendieck and Krein’s theorems. Convex Anal. 20, 233–242 (2013) ´ 52. : A non-archimedean Dugundji extension theorem. Czech. Math. J. 63, 157–164 (2013) 53. : Unordered Baire-like spaces without local convexity. Collect. Math. 43(1), 43–53 (1992) 1 Some Aspects in the Mathematical Work of Jerzy K¸akol 19 54. : Topological vector spaces with some Baire-type properties. Note di Mat. (special sigue to memory of Prof.
Comment. Math. : A note on dual-separating F-spaces. Bull. Polish Acad. Sci. Math. : Some remarks on ∗ -Baire-like and on b-∗ -Baire-like spaces. Math. : On nonlocally convex and on dual-less separable topological vector spaces. : On suprema of metrizable vector topologies with trivial dual. Czech. Math. J. 36(111), no. : On bounded multiplier summable sequences in topological vector spaces. Math. Nachr. : On countable codimensional subspaces in ultra-(DF) spaces. Acta Math. Hung. : Nonlocally convex spaces and the Hahn-Banach extension property.
Descriptive Topology and Functional Analysis: In Honour of Jerzy Kakol's 60th Birthday by Juan Carlos Ferrando, Manuel López-Pellicer