A note on a theorem of Klee
It is proved that if are separable quasi-Banach spaces, then contains a dense dual-separating subspace if either or has this property.
A note on a two-weighted Sobolev inequality
A note on absolutely P-summing operators.
A note on Alexander's theorem.
A note on almost strong liftings
Let be a locally compact space. A lifting of where is a positive measure on , is almost strong if for each bounded, continuous function , and coincide locally almost everywhere. We prove here that the set of all measures on such that there exists an almost strong lifting of is a band.
A Note on B- and Br-Completeness.
A note on Banach algebras that are not isomorphic to a group algebra.
A note on Banach spaces and sub differentials of convex functions
A note on Banach spaces with -saturated duals
It is shown that there exists a Banach space with an unconditional basis which is not -saturated, but whose dual is -saturated.
A note on Banach spaces without the approximation property
A Note on B-Complete Spaces and the Closed Graph Theorem.
A note on bornivorous barrels of C(X,E).
A note on boundary values for the Poisson transform
A note on certain partial sum operators
We show that for the t-deformed semicircle measure, where 1/2 < t ≤ 1, the expansions of functions with respect to the associated orthonormal polynomials converge in norm when 3/2 < p < 3 and do not converge when 1 ≤ p < 3/2 or 3 < p. From this we conclude that natural expansions in the non-commutative spaces of free group factors and of free commutation relations do not converge for 1 ≤ p < 3/2 or 3 < p.
A note on closed graph theorems.
A Note on Closed Ideals in Rings of Smooth Functions.
A note on close-to-normal structure
A note on coalgebra gauge theory
A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.
A note on commutative Banach algebras.
A note on commutativity of automorphisms.