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A short survey of results on classical Franklin system, Ciesielski systems and general Franklin systems is given. The principal role of the investigations of Z. Ciesielski in the development of these three topics is presented. Recent results on general Franklin systems are discussed in more detail. Some open problems are posed.

C(K) norming subsets of C[0,1]

Dale Alspach (1981)

Studia Mathematica

Closed universal subspaces of spaces of infinitely differentiable functions

Stéphane Charpentier, Quentin Menet, Augustin Mouze (2014)

Annales de l’institut Fourier

We exhibit the first examples of Fréchet spaces which contain a closed infinite dimensional subspace of universal series, but no restricted universal series. We consider classical Fréchet spaces of infinitely differentiable functions which do not admit a continuous norm. Furthermore, this leads us to establish some more general results for sequences of operators acting on Fréchet spaces with or without a continuous norm. Additionally, we give a characterization of the existence of a closed subspace...

Compact composition operators on Hardy-orlicz spaces

Ajay K. Sharma, S. D. Sharma (2008)

Matematički Vesnik

Compact homomorphisms between algebras of analytic functions

Richard Aron, Pablo Galindo, Mikael Lindström (1997)

Studia Mathematica

We prove that every weakly compact multiplicative linear continuous map from $H^{\infty} (D)$ into $H^{\infty} (D)$ is compact. We also give an example which shows that this is not generally true for uniform algebras. Finally, we characterize the spectra of compact composition operators acting on the uniform algebra $H^{\infty} (B_{E})$ , where $B_{E}$ is the open unit ball of an infinite-dimensional Banach space E.

Compactness of the Hardy-Littlewood operator on some spaces of harmonic functions.

Stević, Stevo (2009)

Sibirskij Matematicheskij Zhurnal

Completely continuous multilinear operators on C(K)-spaces.

Ignacio Villanueva Díez (1997)

Extracta Mathematicae

The purpose of this note is to announce, without proofs, some results concerning vector valued multilinear operators on a product of C(K) spaces.

Complexity of weakly null sequences [Book]

Dale E. Alspach, Spiros Argyros (1992)

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$C^{1}$ extensions of functions and stabilization of Glaeser refinements.

Caractérisation d'espaces de fonctions analytiques et non quasi-analytiques sur une variété à bord

Carleson embeddings.

Carleson measure, atomic decomposition and free interpolation from Bloch space.

Carleson measures for analytic Besov spaces: the upper triangle case.

Category theorems for certain Banach spaces of analytic functions.

Central decompositions for compact convex sets

Chebyshevian splines [Book]

Ciesielski and Franklin systems

C(K) norming subsets of C[0,1]

Closed universal subspaces of spaces of infinitely differentiable functions

Compact composition operators on Hardy-orlicz spaces

Compact homomorphisms between algebras of analytic functions

Compactness of the Hardy-Littlewood operator on some spaces of harmonic functions.

Completely continuous multilinear operators on C(K)-spaces.

Complexity of weakly null sequences [Book]

Composing infinitely differentiable functions.

Composition operators between weighted spaces of holomorphic functions on Banach spaces.

Composition operators from the Bloch space into the spaces $Q_{T}$ .

Composition operators in hyperbolic $Q$ -classes.

Currently displaying 1 – 20 of 26