A note on partial derivatives of convex functions
A note on permanently singular elements in topological algebras
A note on pervasive algebras
A note on pervasive function algebras
A note on Picard iterates of nonexpansive mappings
Let X be a Banach space, C a closed subset of X, and T:C → C a nonexpansive mapping. It has recently been shown that if X is reflexive and locally uniformly convex and if the fixed point set F(T) of T has nonempty interior then the Picard iterates of the mapping T always converge to a point of F(T). In this paper it is shown that if T is assumed to be asymptotically regular, this condition can be weakened much further. Finally, some observations are made about the geometric conditions imposed.
A note on polynomially barreled locally convex spaces
A note on polynomials versions
A Note on Preserved Smoothness
* Supported by NSERC (Canada)Let X be a Banach space equipped with norm || · ||. We say that || · || is Gâteaux differentiable at x if for every h ∈ SX(|| · ||), (∗) lim t→0 (||x + th|| − ||x||) / t exists. We say that the norm || · || is Gâteaux differentiable if || · || is Gâteaux differentiable at all x ∈ SX(|| · ||).
A note on properties that imply the fixed point property.
A note on reflexivity of projective tensor products
A note on regular elements in Calkin algebras.
An element a of the Banach algebra A is said to be regular provided there is an element b belonging to A such that a = aba. In this note we study the set of regular elements in the Calkin algebra C(X) over an infinite-dimensional complex Banach space X.
A note on regularity for free convolutions
A note on regularity for nonlinear elliptic systems
The - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved.
A Note on Remotal Sets in Banach Spaces
A note on Riesz elements in -algebras.
A note on Riesz spaces with property-
We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.
A note on rotation in separable Banach spaces
A note on Schroeder-Bernstein Property and Primary Property of Orlicz function spaces
It is shown in the note that every reflexive Orlicz function space has the Schroeder-Bernstein Property and the Primary Property.
A note on self-extremal sets in spaces.
A note on semicharacters