A Representation of Stable Banach Spaces

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

A Class of Hereditarily $ell_p(c_0)$ Banach spaces

We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $ell_p(c_0)$ Banach spaces for $1leq p<infty$. Some other properties of this spaces are studied.

On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces

In this paper, we prove some fixed points properties and demiclosedness principle for a Banach operator in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a fixed point of a Banach operator and establish some strong and $Delta$-convergence theorems for such operator in the frame work of uniformly convex hyperbolic spaces. The results obtained in this...

Stable Banach Spaces and Banach Space Structures, I: Fundamentals

We study model theoretical stability for Banach spaces and structures based on Banach spaces, e.g., Banach lattices or C∗-algebras. We prove that a theory is stable if and only if the following condition is true in every model E of the theory: If (ām ) and (b̄n) are bounded sequences in Ek and El (respectively) and R : Ek × El → R is definable, then there exist subsequences (āmi ) and (b̄n j ) su...

Indiscernible sequences in Banach space geometry

0. Introduction 2 The impact of logic in Banach space theory 2 The case of model theory 2 Model theory for structures of functional analysis 3 Two famous applications 4 A note on the exposition 4 1. Preliminaries: Banach Space Models 5 Banach space structures and Banach space ultrapowers 5 Positive bounded formulas 7 Approximate satisfaction 8 (1 + )-isomorphism and (1 + )-equivalence of struct...