The Dual of a Space of Vector Measures.
The dual of Besov spaces on fractals
The dual of every Asplund space admits a projectional resolution of the identity
The dual of the Bergman space defined on a hyperbolic plane domain.
The dual of the cone of all convex functions on a vector space.
The Dual of the Cone of All Convex Functions on a Vector Space. (Short Communication).
The dual of the James tree space is asymptotically uniformly convex
The dual of the James tree space is asymptotically uniformly convex.
The dual of the multiplier algebra of Pedersen's ideal.
The dual of the space of functions of bounded variation
In the paper, we show that the space of functions of bounded variation and the space of regulated functions are, in some sense, the dual space of each other, involving the Henstock-Kurzweil-Stieltjes integral.
The dual of the space of holomorphic functions on locally closed convex sets.
Let H(Q) be the space of all the functions which are holomorphic on an open neighbourhood of a convex locally closed subset Q of CN, endowed with its natural projective topology. We characterize when the topology of the weighted inductive limit of Fréchet spaces which is obtained as the Laplace transform of the dual H(Q)' of H(Q) can be described by weighted sup-seminorms. The behaviour of the corresponding inductive limit of spaces of continuous functions is also investigated.
The dual of the space of measures with continuous translations.
The dual of weak
For , a characterization is given of the dual space of weak taken over a non atomic measure space.
The dual space of the sequence space .
The dual spaces of the sets of difference sequences of order .
The Dugundji extension theorem and extension degree
The Dunford-Pettis property for the ball-algebras, the polydisc-algebras and the Sobolev spaces
The Dunford-Pettis property in C*-algebras
The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets
The Dunford-Pettis property and the Gelfand-Phillips property are studied in the context of spaces of operators. The idea of L-sets is used to give a dual characterization of the Dunford-Pettis property.
The E and K functionals for the pair (X (A), l∞(B)).
We prove some exact formulas for the E and K functionals for pairs of the type (X(A),l sub ∞ (B)) where X has the lattice property. These formulas are extensions of their well-known counterparts in the scalar valued case. In particular we generalize formulas by Pisier and by the present author.
The edge of the wedge theorems and applications.