Ciesielski and Franklin systems
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]
Closed universal subspaces of spaces of infinitely differentiable functions
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
Compact homomorphisms between algebras of analytic functions
We prove that every weakly compact multiplicative linear continuous map from into 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 , where is the open unit ball of an infinite-dimensional Banach space E.
Compactness of the Hardy-Littlewood operator on some spaces of harmonic functions.
Completely continuous multilinear operators on C(K)-spaces.
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]
Composing infinitely differentiable functions.
Composition operators between weighted spaces of holomorphic functions on Banach spaces.
Composition operators from the Bloch space into the spaces .
Composition operators in hyperbolic -classes.
Composition operators on the Dirichlet space and related problems.
Concerning holomorphy types for Banach spaces
Construction of an orthonormal basis in and
Continuity and Fréchet-Differentiability of Nemytskij Operators in Hölder Spaces.
Cotype of operators from C(K).
Curves of maximum modulus in coherent state representations
Density theorems for sampling and interpolation in the Bargmann-Fock space II.