Tauberian operators on spaces of integrable functions.
The bidual of the space of polynomials on a Banach space.
The Compact Approximation Property does not imply the Approximation Property
It is shown how to construct, given a Banach space which does not have the approximation property, another Banach space which does not have the approximation property but which does have the compact approximation property.
The controlled separable projection property for Banach spaces
Let X, Y be two Banach spaces. We say that Y is a quasi-quotient of X if there is a continuous operator R: X → Y such that its range, R(X), is dense in Y. Let X be a nonseparable Banach space, and let U, W be closed subspaces of X and Y, respectively. We prove that if X has the Controlled Separable Projection Property (CSPP) (this is a weaker notion than the WCG property) and Y is a quasi-quotient of X, then the structure of Y resembles the structure of a separable Banach space: (a) Y/W is norm-separable...
The Dual Ball of a Lindenstrauss Space.
The dual space of the sequence space .
The functionals of the kind of Banach limits.
The heredity problem for weakly compactly generated Banach spaces
The Kreps-Yan theorem for Banach ideal spaces.
The problem and degrees of non-reflexivity
The problem and degrees of non-reflexivity (II)
The -dual space of the space of -summable sequences
In the theory of normed spaces, we have the concept of bounded linear functionals and dual spaces. Now, given an -normed space, we are interested in bounded multilinear -functionals and -dual spaces. The concept of bounded multilinear -functionals on an -normed space was initially intoduced by White (1969), and studied further by Batkunde et al., and Gozali et al. (2010). In this paper, we revisit the definition of bounded multilinear -functionals, introduce the concept of -dual spaces, and...
The Radon-Nykodym property
The simultaneous existence of linear functionals
The Space of Differences of Convex Functions on [0, 1]
∗Participant in Workshop in Linear Analysis and Probability, Texas A & M University, College Station, Texas, 2000. Research partially supported by the Edmund Landau Center for Research in Mathematical Analysis and related areas, sponsored by Minerva Foundation (Germany).The space K[0, 1] of differences of convex functions on the closed interval [0, 1] is investigated as a dual Banach space. It is proved that a continuous function f on [0, 1] belongs to K[0, 1]
The space of multipliers into
The strong WCD property for Banach spaces.
The uniform classification of boundedly compact locally convex spaces
The -approximation property and the weak topology in tensor products of Banach spaces
Topics on analytic sets