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$𝒰 (ℱ)$ algebras and the symbolic calculus of Sebastião e Silva. (Les algèbres $𝒰 (ℱ)$ et le calcul symbolique de Sebastião e Silva.)

Sequeira, Fernando Manuel (1995)

Portugaliae Mathematica

$ℂ$ -convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation.

Filipsson, Lars (2006)

International Journal of Mathematics and Mathematical Sciences

A Borel extension approach to weakly compact operators on $C_{0} (T)$

Thiruvaiyaru V. Panchapagesan (2002)

Czechoslovak Mathematical Journal

Let $X$ be a quasicomplete locally convex Hausdorff space. Let $T$ be a locally compact Hausdorff space and let $C_{0} (T) = {f T \to I$ , $f$ is continuous and vanishes at infinity $}$ be endowed with the supremum norm. Starting with the Borel extension theorem for $X$ -valued $σ$ -additive Baire measures on $T$ , an alternative proof is given to obtain all the characterizations given in [13] for a continuous linear map $u C_{0} (T) \to X$ to be weakly compact.

A bornological approach to rotundity and smoothness applied to approximation.

Read, John (1996)

Journal of Convex Analysis

A chain rule formula for the composition of a vector-valued function by a piecewise smooth function

François Murat, Cristina Trombetti (2003)

Bollettino dell'Unione Matematica Italiana

We state and prove a chain rule formula for the composition $T (u)$ of a vector-valued function $u \in W^{1, r} (Ω; R^{M})$ by a globally Lipschitz-continuous, piecewise $C^{1}$ function $T$ . We also prove that the map $u \to T (u)$ is continuous from $W^{1, r} (Ω; R^{M})$ into $W^{1, r} (Ω)$ for the strong topologies of these spaces.

A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.

Kim, Young Sik (2001)

International Journal of Mathematics and Mathematical Sciences

A characterization of group-valued measures satisfying the countable chain condition

Z. Lipecki (1974)

Colloquium Mathematicae

A characterization of holomorphic germs on compact perfect sets

Graciela Carboni, Angel Rafael Larotonda (2004)

Commentationes Mathematicae Universitatis Carolinae

Let $K \subseteq ℂ$ be a perfect compact set, $E$ a quasi-complete locally convex space over $ℂ$ and $f : K \to E$ a map. In this note we give a necessary and sufficient condition — in terms of differential quotients — for $f$ to have a holomorphic extension on a neighborhood of $K$ .

A characterization of some weak semi-continuity of integral functionals

Tran Nguyen (1979)

Studia Mathematica

A characterization of the domain of attraction of a normal distribution in a Hilbert space

M. Kłosowska (1973)

Colloquium Mathematicae

A Characterization of Weakly Sequentially Complete Banach Lattices.

V. Caselles (1985)

Mathematische Zeitschrift

A classification for real and complex finite dimensional $\mathcal{F}^{*}$ -algebras

Mauro Meschiari (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

La presente Nota contiene una lista di $J^{\star}$ -algebre reali di dimensione finita ed una lista di $J^{\star}$ -algebre complesse di dimensione finita tali che: 1) due elementi distinti di ogni lista non sono mai $J^{\star}$ -isomorfi; 2) ogni $J^{\star}$ -algebra di dimensione finita reale (complessa) è $J^{\star}$ —isomorfa su $\mathbf{R}$ (su $\mathbf{C}$ ) alla somma diretta, finita, di $J^{\star}$ -algebre reali (complesse) elencate nella lista. In altre parole, diamo qui una classificazione completa delle $J^{\star}$ —algebre reali e delle $J^{\star}$ -algebre complesse di dimensione finita. Nel...

A compactness criterion of mixed Krasnoselskiĭ-Riesz type in regular ideal spaces of vector functions.

Väth, M. (1999)

Zeitschrift für Analysis und ihre Anwendungen

A constructive integral equivalent to the integral of Kurzweil

Márcia Federson (2002)

Czechoslovak Mathematical Journal

We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.

A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals

C. K. Fong (2002)

Czechoslovak Mathematical Journal

We show that a Pettis integrable function from a closed interval to a Banach space is Henstock-Kurzweil integrable. This result can be considered as a continuous version of the celebrated Orlicz-Pettis theorem concerning series in Banach spaces.

A convenient setting for holomorphy

A. Kriegl, L. D. Nel (1985)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

A Criterion for an Operator with Real Spectrum to Be of Scalar-type.

Werner Ricker (1983)

Monatshefte für Mathematik

A criterion of Γ-nullness and differentiability of convex and quasiconvex functions

Jaroslav Tišer, Luděk Zajíček (2015)

Studia Mathematica

We introduce a criterion for a set to be Γ-null. Using it we give a shorter proof of the result that the set of points where a continuous convex function on a separable Asplund space is not Fréchet differentiable is Γ-null. Our criterion also implies a new result about Gâteaux (and Hadamard) differentiability of quasiconvex functions.

A Differentiation Theorem for Additive Processes.

Mustafa A. Akcoglu, Ulrich Krengel (1978)

Mathematische Zeitschrift

A Differentiation Theorem in Lp.

Mustafa A. Akcoglu, Ulrich Krengel (1979)

Mathematische Zeitschrift

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