A note on integral inequalities and embeddings of Besov spaces.
A note on intermediate differentiability of Lipschitz functions
Let be a Lipschitz function on a superreflexive Banach space . We prove that then the set of points of at which has no intermediate derivative is not only a first category set (which was proved by M. Fabian and D. Preiss for much more general spaces ), but it is even -porous in a rather strong sense. In fact, we prove the result even for a stronger notion of uniform intermediate derivative which was defined by J.R. Giles and S. Sciffer.
A note on interpolation and higher integrability.
A note on intersections of simplices
We provide a corrected proof of [1, Théorème 9] stating that any metrizable infinite-dimensional simplex is affinely homeomorphic to the intersection of a decreasing sequence of Bauer simplices.
A note on isomorphisms between powers of Banach spaces.
A note on joint capacities in Banach algebras
A note on Jordan automorphisms
A note on Kakutani type fixed point theorems.
A Note on L... Spaces of Harmonic Functions.
A note on lattice renormings
It is shown that every strongly lattice norm on can be approximated by smooth norms. We also show that there is no lattice and Gâteaux differentiable norm on .
A note on L-Dunford-Pettis sets in a topological dual Banach space
The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.
A note on Lebesgue spaces
A note on Lebesgue type decomposition for covariant completely positive maps on -algebras.
A note on Lie nilpotency in operator algebras
A Note on Lifting of Matrix Units in C*-Algebras.
A note on Lipschitz isomorphisms in Hilbert spaces
We show that the following well-known open problems on existence of Lipschitz isomorphisms between subsets of Hilbert spaces are equivalent: Are balls isomorphic to spheres? Is the whole space isomorphic to the half space?
A note on local automorphisms
Let be an infinite-dimensional almost separable Hilbert space. We show that every local automorphism of , the algebra of all bounded linear operators on a Hilbert space , is an automorphism.
A Note on Locally Convex Spaces.
A note on locally convex spaces with a basic sequence of -disks
A Note on Lp-Spaces.