On properties of geometric preduals of classical smoothness spaces

DOI10.1090/PSPUM/106/01926MaRDI QIDQ6492300

Publication date: 25 April 2024

approximation property finiteness principle smoothness space simultaneous extension biduality property geometric predual

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Duality and reflexivity in normed linear and Banach spaces (46B10)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Duality and distance formulas in spaces defined by means of oscillation
Differential calculus on topological spaces with weak Markov structure. I
Étude de quelques algèbres tayloriennes
${\mathcal C}^m$-norms on finite sets and ${\mathcal C}^m$ extension
$C^{m,\omega}$ extension by bounded-depth linear operators
Extension of $C^{m, \omega}$-smooth functions by linear operators
The Whitney problem of existence of a linear extension operator
Spaces of Lipschitz and Hölder functions and their applications
On properties of geometric preduals of ${\mathrm C^{k,\omega}}$ spaces
Multivariate bounded variation functions of Jordan-Wiener type
Prolongateurs de fonctions différentiables d'une variable réelle
A counterexample to the approximation problem in Banach spaces
A generalized sharp Whitney theorem for jets
Smooth functions
Traces of $C^{k}$ functions on weak Markov subsets of $\mathbb R^{n}$
Banach spaces of Lipschitz functions
On the Banach structure of multivariate BV spaces
The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces
Whitney’s extension problems and interpolation of data
Kantorovich-Rubinstein Norm and Its Application in the Theory of Lipschitz Spaces
Extensions of Hardy spaces and their use in analysis
Duality for General Lipschitz Classes and Applications
Extension of range of functions
The Approximation Property Does Not Imply the Bounded Approximation Property
On M-ideals and o-O type spaces
Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
Produits tensoriels topologiques et espaces nucléaires
Two stars theorems for traces of the Zygmund space
Methods of Geometric Analysis in Extension and Trace Problems

This page was built for publication: On properties of geometric preduals of classical smoothness spaces