* Preliminaries* Numbers* Sequences and series* Limits and continuity* Differentiation* The elementary transcendental functions* Integration* Infinite series and infinite products* Trigonometric series* Bibliography* Other works by the author* Index

An introduction to classical real analysis, by Karl R. Stromberg. Pp 575. $29·95. 1981. ISBN 0-534-98012-0 (Wadsworth)

A subadditive property of the gamma function

Almost Lie structures on an anchored Banach bundle

Banach spaces in various positions

We obtain some results for and further examples of subprojective and superprojective Banach spaces. We also give several conditions providing examples of non-reflexive superprojective spaces; one of these conditions is stable under c
 0-sums and projective tensor products.

On Subprojectivity and Superprojectivity of Banach Spaces

From the characterisation of geometrically convex and geometrically concave functions defined on (0,A] or $ [A,\infty) $ with $ A > 0 $, by means of their multiplicative conditions, we obtain unified proofs of some known and new inequalities. Functions of class C2 and strictly increasing on (a,b) fulfil some kind of supermultiplicativity and superadditivity. We have obtained a new constant determining the intervals of sub- and supermultiplicativity for the log function.

Multiplicative properties of real functions with applications to classical functions

Complemented copies of ℓ1 in Banach spaces with an unconditional basis

Given a Banach space X and a probability space (Ω, Σ, μ), we characterize the countable additivity of the Dunford integral for Dunford integrable functions taking values in X as those weakly measurable functions f:Ω→X for which {x*f:x*∈B X*} is relatively weakly compact in some separable Orlicz space L ϕ(μ). We also provide a characterization of the Pettis integral of Dunford integrable functions by mean of weak compactness in separable Orlicz spaces and give a necessary and sufficient condition for the uniform integrability of {xf:x∈B x }, whenever f:Ω→X* is Gel’fand integrable.

On Vector Measures, Uniform Integrability and Orlicz Spaces

ojtowicz Abstract. Let X be a Banach space with an uncountable unconditional Schauder basis, and let Y be an arbitrary nonseparable subspace of X. If X contains no isomorphic copy of '1(J) with J uncountable then (1) the density of Y and the weak*-density of Y are equal, and (2) the unit ball of X is weak* sequentially compact. Moreover, (1) implies that Y contains large subsets consisting of pairwise disjoint elements, and a similar property holds for uncountable unconditional basic sets in X. La estructura de los espacios de Banach no separables que tienen bases

/pdf/the-structure-of-nonseparable-banach-spaces-with-uncountable-2gwvuycovf.pdf

Carlos Finol

Papers

Multiplicative properties of real functions with applications to classical functions

Complemented copies of ℓ1 in Banach spaces with an unconditional basis

On Vector Measures, Uniform Integrability and Orlicz Spaces

The structure of nonseparable Banach spaces with uncountable unconditional bases.

The structure of symmetric basic sequences with applications to a class of Orlicz sequence spaces