The Dirichlet problem and weighted spaces. I.
The Dirichlet problem and weighted spaces. II.
The Dirichlet problem for Baire-one functions
Let X be a compact convex set and let ext X stand for the set of all extreme points of X. We characterize those bounded function defined on ext X which can be extended to an affine Baire-one function on the whole set X.
The Dirichlet space: a survey.
The discrete version of Ostrowski's inequality in normed linear spaces.
The distance between subdifferentials in the terms of functions
For convex continuous functions defined respectively in neighborhoods of points in a normed linear space, a formula for the distance between and in terms of (i.eẇithout using the dual) is proved. Some corollaries, like a new characterization of the subdifferential of a continuous convex function at a point, are given. This, together with a theorem from [4], implies a sufficient condition for a family of continuous convex functions on a barrelled normed linear space to be locally uniformly...
The distance from a point to a cone in a Hilbert space.
The Distortion of Hilbert Space.
The distribution of non-commutative Rademacher series.
The distributional 1F1-Transform.
The distributional multiplicative product P ...
The divergent distribution product Xλ+Xμ-.
The domain of attraction of a non-Gaussian stable distribution in a Hilbert space
The domain of attraction of a normal distribution in a Hilbert space
The double sequence space
The dual and bidual of an echelon Köthe space.
The Dual Ball of a Lindenstrauss Space.
The dual form of the approximation property for a Banach space and a subspace
Given a Banach space X and a subspace Y, the pair (X,Y) is said to have the approximation property (AP) provided there is a net of finite rank bounded linear operators on X all of which leave the subspace Y invariant such that the net converges uniformly on compact subsets of X to the identity operator. In particular, if the pair (X,Y) has the AP then X, Y, and the quotient space X/Y have the classical Grothendieck AP. The main result is an easy to apply dual formulation of this property. Applications...
The dual locale of a seminormed space
The Dual of a Non-reflexive L-embedded Banach Space Contains Isometrically
A Banach space is said to be L-embedded if it is complemented in its bidual in such a way that the norm between the two complementary subspaces is additive. We prove that the dual of a non-reflexive L-embedded Banach space contains isometrically.