On some convexity properties of Orlicz spaces of vector valued functions.
On some geometric properties in C(K,X) and C(K,X)*.
On some geometric properties of certain Köthe sequence spaces
It is proved that if a Kothe sequence space is monotone complete and has the weakly convergent sequence coefficient WCS, then is order continuous. It is shown that a weakly sequentially complete Kothe sequence space is compactly locally uniformly rotund if and only if the norm in is equi-absolutely continuous. The dual of the product space of a sequence of Banach spaces , which is built by using an Orlicz function satisfying the -condition, is computed isometrically (i.e. the exact...
On some subsets of
On spaces of continous functions with values in coechelon spaces
On spaces of measurable functions
On spreading models in
On Strongly WCG Banach Spaces.
On subnormal operators whose spectrum are multiply connected domains.
On Taylor functional calculus
On the Banach-Mazur distance between continuous function spaces with scattered boundaries
We study the dependence of the Banach-Mazur distance between two subspaces of vector-valued continuous functions on the scattered structure of their boundaries. In the spirit of a result of Y. Gordon (1970), we show that the constant appearing in the Amir-Cambern theorem may be replaced by for some class of subspaces. We achieve this by showing that the Banach-Mazur distance of two function spaces is at least 3, if the height of the set of weak peak points of one of the spaces differs from the...
On the Banach-Stone problem
Let X and Y be locally compact Hausdorff spaces, let E and F be Banach spaces, and let T be a linear isometry from C₀(X,E) into C₀(Y,F). We provide three new answers to the Banach-Stone problem: (1) T can always be written as a generalized weighted composition operator if and only if F is strictly convex; (2) if T is onto then T can be written as a weighted composition operator in a weak sense; and (3) if T is onto and F does not contain a copy of then T can be written as a weighted composition...
On the Banach-Stone Theorem.
On the Beurling-Lax theorem for domains with one hole.
On the closure of modules of continuously differentiable mappings
On the dual space .
On the dual space of
On the Dunford-Pettis property
On the existence of continuous modifications of vector-valued random fields.
On the extension of Lipschitz maps with values in a Fréchet space