The mathematical research of Juan Carlos Ferrando

DOI10.1007/978-3-031-30014-1_1MaRDI QIDQ6629185

M. Pellicer

Publication date: 29 October 2024

zbMATH Keywords

closed graph theoremlocally convex spacesnormed spaces\(K\)-analytic spacesspaces of vector-valued functionsdistinguished Fréchet spacesstrongly barrelled conditions\(C_p\) and \(C_k\)metrizability on precompactsNikodým boundedness propertiesspaces of scalar-valued continuous functions

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Biographies, obituaries, personalia, bibliographies (01A70) Spaces of vector- and operator-valued functions (46E40) General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04) History of functional analysis (46-03)

Cites Work

• Another note on Kalton's theorems
• A characterization of $\sigma $-compactness of a cosmic space $X$ by means of subspaces of $R^X$
• On $K$-sequences
• Metrizability vs. Fréchet-Uryshon property
• On spaces weakly ‐analytic
• If not distinguished, is $C_{p}( X) $ even close?
• On Nikodým and Rainwater sets for ba (R) and a problem of M. Valdivia
• Bounded sets structure of CpX and quasi‐(DF)‐spaces
• DOMINATION CONDITIONS UNDER WHICH A COMPACT SPACE IS METRISABLE
• On C‐Suslin spaces
• Spaces with a $\mathbb {Q}$-diagonal
• Necessary and sufficient conditions for precompact sets to be metrisable
• Spaces in which sequences suffice II
• Σ-spaces
• The Discrete Countable Chain Condition
• A characterization of $X$ for which spaces $C_p(X)$ are distinguished and its applications
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• Spaces \(C(X)\) with ordered bases
• Compact spaces with a \(\mathbb{P}\)-diagonal
• On Valdivia strong version of Nikodym boundedness property
• On Nikodym boundedness property
• Some topological cardinal inequalities for spaces \(C_p(X)\)
• On uniform spaces with a small base and \(K\)-analytic \(C_c(X)\) spaces
• On a theorem of D. P. Baturov
• Free locally convex spaces with a small base
• Domination by second countable spaces and Lindelöf \(\Sigma \)-property
• Descriptive topology in selected topics of functional analysis
• Topics in topology
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• The dual of the locally convex space \(C_p(X)\)
• On sequential barrelledness
• Sur quelques propriétés de l'espace C\(_s\)(T)
• Bounded resolutions for spaces \(C_p(X)\) and a characterization in terms of \(X\)
• Tightness and distinguished Fréchet spaces
• Two new properties of the space \(C_{p}(x)\)
• Compact coverings for Baire locally convex spaces
• On quasi-Souslin \(C_{c}(X)\) spaces
• Function spaces with a countable \(cs^*\)-network at a point
• Some characterizations for \(\upsilon X\) to be Lindelöf \(\Sigma \) or \(K\)-analytic in terms of \(C_{p}(X)\)
• (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology
• On compactness in locally convex spaces
• Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
• On totally barrelled spaces
• Barrelledness conditions on \(S(\Sigma;E)\) and \(B(\Sigma;E)\)
• Some new results on weak compactness
• On certain barrelled normed spaces
• Espaces de Banachs faiblement K-analytiques
• Strong barrelledness properties in \(\ell ^{\infty}_ 0(X,{\mathcal A})\) and bounded finite additive measures
• Strong barrelledness properties in Lebesgue-Bochner spaces
• Webs and bounded finitely additive measures
• Banach spaces of vector-valued functions
• Projective \(\sigma\)-compactness, \(\omega_1\)-caliber, and \(C_p\)-spaces
• Weight of precompact subsets and tightness
• A characterization of the existence of a fundamental bounded resolution for the space \(C_c(X)\) in terms of \(X\)
• On a problem of Horváth concerning barrelled spaces of vector valued continuous functions vanishing at infinity
• A uniform boundedness theorem for \(L^\infty(\mu,E)\)
• On K-analytic locally convex spaces
• Some barrelledness properties of \(c_{0}(\Omega,X)\)
• A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions
• Bounded tightness for weak topologies
• Bounded tightness for locally convex spaces and spaces \(C(X)\)
• The number of \(K\)-determination of topological spaces
• Compact covers and function spaces
• On weakly compact sets in \(C\left( X\right) \)
• Distinguished vector-valued continuous function spaces and injective tensor products
• Descriptive topology for analysts
• Existence of nice resolutions in \(C_p(X)\) and its bidual often implies metrizability of \(C_p(X)\)
• Distinguished \(C_p (X)\) spaces
• A \(C_p\)-theory problem book. Compactness in function spaces
• A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
• Metrizable-like locally convex topologies on \(C(X)\)
• Weak compactness and metrizability of Mackey$^*$-bounded sets in Fréchet spaces
• On the work of Lech Drewnowski
• Some uniformities on \(X\) related to topological properties of \(C(X)\)
• Quasi-Suslin weak duals
• A characterization of trans-separable spaces
• Über nicht-vollständige Montelräume
• On closed graph theorem
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• A property of locally convex Baire spaces
• Banach disks and barrelledness properties of metrizable \(c_0(\Omega,X)\)
• A \(C_p\)-theory problem book. Topological and function spaces
• La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)
• Characterizing \(P\)-spaces \(X\) in terms of \(C_{p}(X)\)
• On precompact sets in spaces \(C_c(X)\)
• Quasi-LB-Spaces
• A revised closed graph theorem for quasi-Suslin spaces
• Δ-Sets
• A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces
• A NOTE ON SPACES C_p(X)K-ANALYTIC-FRAMED IN ℝ^X
• Web-compact spaces, Fréchet-Urysohn groups and a Suslin closed graph theorem
• A WEAKLY ANALYTIC LOCALLY CONVEX SPACE WHICH IS NOT K-ANALYTIC
• Espaces $K_\sigma$ et espaces des applications continues
• Pointwise Compactness in Spaces of Continuous Functions
• A Productive Class of Angelic Spaces
• Metrizable (LF)-spaces, (db)-spaces, and the separable quotient problem
• The Space of Pettis Integrable Functions is Barrelled

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