By Juan Carlos Ferrando, Manuel López-Pellicer

ISBN-10: 3319052233

ISBN-13: 9783319052236

ISBN-10: 3319052241

ISBN-13: 9783319052243

Descriptive topology and practical research, with broad fabric demonstrating new connections among them, are the topic of the 1st portion of this paintings. functions to areas of continuing capabilities, topological Abelian teams, linear topological equivalence and to the separable quotient challenge are incorporated and are provided as open difficulties. the second one part is dedicated to Banach areas, Banach algebras and operator concept. each one bankruptcy offers loads of necessary and critical contemporary theorems with an summary discussing the fabric within the bankruptcy. each one bankruptcy can virtually be obvious as a survey overlaying a specific quarter

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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. Bull. Polish Acad. Sci. Math.

Math. Belg. Sér. : Remarks on regular (LF)-spaces. Rend. Circ. Mat. : A note on a theorem of Klee. Comm. Math. Univ. Carolin. : Sequential closure conditions and Baire-like spaces. Arch. Math. : Topological vector spaces with some Baire-type properties. Dedicated to the memory of Professor Gottfried Köthe. Note Mat. : Simple construction of spaces without the Hahn-Banach extension property. Comm. Math. Univ. Carolin. : Sequentially barrelled spaces and the strongest locally convex topology. Math.

Pures Appl. : Some remarks on Baire-like spaces. Comment. Math. Prace Mat. : Non-locally convex Baire-like, b-Baire-like spaces and spaces with generalized inductive limit topology. Rev. Roumaine Math. Pures Appl. : Garling algebras. Funct. Approx. Comment. Math. : Some remarks on Wiweger topology and generalization of inductive limit topology. Funct. Approx. Comment. Math. 5, 179–182 (1977) (46A15) (46M10) Chapter 2 Weak Barrelledness Versus P-spaces Stephen A. Saxon Abstract With Ferrando and Ka˛kol: X is a P-space if and only if every bounded sequence in C p (X ) is relatively compact, if and only if every pointwise eventually zero sequence in C p (X ) is summable.

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