Invariant subspaces of L... and H... .
Invariant subspaces of the Dirichlet shift.
Invariant subspaces on multiply connected domains.
The lattice of invariant subspaces of several Banach spaces of analytic functions on the unit disk, for example the Bergman spaces and the Dirichlet spaces, have been studied recently. A natural question is to what extent these investigations carry over to analogously defined spaces on an annulus. We consider this question in the context of general Banach spaces of analytic functions on finitely connected domains Ω. The main result reads as follows: Assume that B is a Banach space of analytic functions...
Inverse images of function sectors in the weighted Bergman space.
Isometric embedding into spaces of continuous functions
We prove that some Banach spaces X have the property that every Banach space that can be isometrically embedded in X can be isometrically and linearly embedded in X. We do not know if this is a general property of Banach spaces. As a consequence we characterize for which ordinal numbers α, β there exists an isometric embedding between and .
Isometric embeddings of a class of separable metric spaces into Banach spaces
Let be a bounded countable metric space and a constant, such that , for any pairwise distinct points of . For such metric spaces we prove that they can be isometrically embedded into any Banach space containing an isomorphic copy of .
Isometries between spaces of weighted holomorphic functions
We study isometries between spaces of weighted holomorphic functions. We show that such isometries have a canonical form determined by a group of homeomorphisms of a distinguished subset of the range and domain. A number of invariants for these isometries are determined. For specific families of weights we classify the form isometries can take.
Isometries on products of composition and integral operators on Bloch type space.
Isomorphic type of the space of smooth functions determined by a finite family of differential operators.
Isomorphism of spaces of bounded continuous functions
Isomorphisms of continuous function spaces
Kadec Norms on Spaces of Continuous Functions
2000 Mathematics Subject Classification: Primary: 46B03, 46B26. Secondary: 46E15, 54C35.We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K). We show in particular that such a renorming exists when K is any product of compact linearly ordered spaces, extending the result for a single factor due to Haydon, Jayne, Namioka and Rogers. We show that if C(K1) has a pointwise Kadec renorming and K2 belongs to the class of spaces obtained by closing the class of compact...
Korovkin Approximation in C0(X).
Korovkinhüllen in Funktionenräumen.
La presque-périodicité et les coalgèbres injectives
Lacunary series in spaces
Under mild conditions on the weight function K we characterize lacunary series in the so-called spaces.
Laplace transform of exponentially Lipschitzian vector-valued functions
Le théorème taubérien de Wiener et l'équation de la chaleur
Linear isometries of subspaces of spaces of continuous functions
Lipschitz classes and Poisson integrals on stratified groups