La dualité dans les espaces $(\mathcal F)$ et $(\mathcal{LF})$

DOI10.5802/aif.8zbMath0035.35501OpenAlexW1983981042MaRDI QIDQ2648261

Publication date: 1949

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1949__1__61_0

zbMATH Keywords

duality functional analysis

Mathematics Subject Classification ID

Functional analysis (46-XX)

Related Items

On the Symmetry and Bounded Closure of Locally Convex Spaces, Completeness and Compactness in Linear Topological Spaces, Modified Green-hyperbolic operators, On the continuity of inverse operators in $\left( {{\text{LF}}} \right)$-spaces, Smooth Partitions of Unity on Manifolds, Neubegründung der Theorie der vollkommenen Räume, Holomorphic germs on Banach spaces, Über das Spektrum der Endomorphismen eines linearen Raumes, Pseudonormen in der Theorie der linearen topologischen Räume, A characterization of $X$ for which spaces $C_p(X)$ are distinguished and its applications, Unnamed Item, Sur les ultra-distributions, Invariant differential equations on reductive Lie groups and algebras. II, Introduction de poids dans l'étude de problèmes aux limites, Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.), Su Alcuni Esempi Notevoli di Dualita’ Fra Spazi Lineari Topologici, The open mapping and closed range theorems, Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks, Кратная интерполяционная задача Валле Пуссена, Задача Валле Пуссена в ядре оператора свертки на полуплоскости, LOCALLY CONVEX SPACES OF VECTOR-VALUED DISTRIBUTIONS WITH MULTIPLICATIVE STRUCTURES, Nonhomogeneous systems of convolution equations in a certain class of analytic functions, Sur certains espaces vectoriels topologiques, Sur les espaces de Köthe, Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, Problèmes aux limites non homogenes. VII, Die Randverteilungen analytischer Funktionen, Sur un théorème de Šmulian, A theory of Radon measures on locally compact spaces, Sur les espaces de solutions d'une classe générale d'équations aux dérivées partielles, $FK$-Räume in der Funktionentheorie. II, Summary of essential results in the theory of topological tensor products and nuclear spaces., A note on surjections of locally convex spaces, A comparison of positivity in complex and tropical toric geometry, A note on topology of supermanifolds, On the solvability of convolution equations in Beurling's distributions, Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques, From Nancy to Copenhagen to the World: the internationalization of Laurent Schwartz and his theory of distributions, On fully complete spaces, Stability of Bases in Complete Barrelled Spaces, Topological properties of strict (\textit{LF})-spaces and strong duals of Montel strict (\textit{LF})-spaces, Unnamed Item, Interpolation problem in kernels of operators generated by generalized Bargmann-Fock spaces, La théorie de Fredholm, Sur les représentations induites des groupes de Lie, The mathematical work of Susanne Dierolf, Sur une classe d'opérateurs différentiels hypoelliptiques, Extended Schauder decompositions of locally convex spaces, Criteria for Eberlein compactness in spaces of continuous functions, A weak Grothendieck compactness principle, Singularities and analytic continuation of the Dunkl and the Jacobi-Cherednik intertwining operators and their duals, Unnamed Item, Finitely Generated Ideals of Differentiable Functions, Surjectivity of convolution operators on noncompact symmetric spaces, Systems of Division Problems for Distributions, Sur quelques extensions de la notion de distribution, Sur l'approximation par distributions à support discret, Probabilistic extension and logic of complex unstable dynamical systems, Characterizations of Ultradistributions with Compact Support and Decomposition by Support, Representation of synthesizable differentiation-invariant subspaces of the Schwartz space, Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished, The multiple de la Vallée-Poussin problem on convex domains in the kernel of the convolution operator, On the Ideal Structure of Banach Algebras, A Grothendieck compactness principle for the Mackey dual topology, Solvability of systems of nonhomogeneous convolution equations in convex domains in $\mathbb{C}$, Methods of approximation of functions in invariant subspaces by Dirichlet polynomials, A space of generalized distributions, A duality for symmetric spaces with applications to group representations. II: Differential equations and eigenspace representations, Unnamed Item, Bounded Sets in (LF)-Spaces, Some approximation properties and nuclear operators in spaces of analytical functions, Global properties of differential operators of constant strength, On some properties of convolution operators in $\mathcal K'_1$ and $cal S'$, Unnamed Item, On one class of differential operators and their application, On Malgrange theorem for nuclear holomorphic functions in open balls of a Banach space, The universal approximation property. Characterization, construction, representation, and existence, Espaces de fonctions et distributions du type de Gevrey et problèmes aux limites paraboliques, Processus linéaires, processus généralisés, Characterization of separability for LF-spaces, Opérateurs différentiels hypoelliptiques, $(LF)$ spaces and distributions on compact groups, and spectral synthesis on $\mathbb R/2\pi \mathbb Z$, A study of Maurice Fréchet. III: Fréchet as analyst, 1909-1930, Nonexistence of a continuous right inverse for surjective linear partial differential operators on the Fréchet spaces $\gamma^{(\delta)}(\Omega)$, Extending Continuous Linear Functionals in Convergence Vector Spaces, Fourier integral operators. II, Espaces de fonctions différentiables à valeurs vectorielles, Ergodentheorie und fastperiodische Funktionen auf Halbgruppen, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, On The Second Dual of the Space of Continuous Functions, Fonctions croissantes et mesures sur les espaces topologiques ordonnes, Solutions of D. A. Raikov's problems in the theory of topological vector spaces, Zur Theorie der Markoffschen Prozesse, Halbgeordnete lokalkonvexe Vektorräume, Functional analysis and partial differential equations. I, Théorie des distributions à valeurs vectorielles, Théorie des distributions à valeurs vectorielles. II, Generalized Random Variables, On the state of a linear operator and its adjoint, Functional analysis and partial differential equations. II, On solvability of convolution equations in spaces of generalized distributions with restricted growth, Perturbative expansions in quantum mechanics, Distinguished vector-valued continuous function spaces and injective tensor products, $m$-convex structure of an algebra that is the locally convex inductive limit of Banach algebras, On Hankel convolution equations in distribution spaces, On a certain class of *-algebras of unbounded operators, Extension of the Dynamics of Unstable Systems, Indicators of products and surjective convolution maps, On the closure of spaces of sums of Ridge functions and the range of the X-ray transform, Convergence of ${\mathcal S}'$-valued processes and space-time random fields

Cites Work

La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)