Results 41 to 50 of about 4,708,050 (255)

Geometric Characterization of Injective Banach Lattices

Mathematics, 2021
This is a continuation of the authors’ previous study of the geometric characterizations of the preduals of injective Banach lattices. We seek the properties of the unit ball of a Banach space which make the space isometric or isomorphic to an injective ...
Anatoly Kusraev, Semën Kutateladze
doaj   +1 more source

Martingales in Banach Spaces

, 2016
Introduction Description of the contents 1. Banach space valued martingales 2. Radon Nikodym property 3. Harmonic functions and RNP 4. Analytic functions and ARNP 5. The UMD property for Banach spaces 6. Hilbert transform and UMD Banach spaces 7.
G. Pisier
semanticscholar   +1 more source

Convolution Algebraic Structures Defined by Hardy-Type Operators

Journal of Function Spaces and Applications, 2013
The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana, Juan J. Royo, Luis Sánchez-Lajusticia   +2 more
doaj   +1 more source

Separability of Topological Groups: A Survey with Open Problems

Axioms, 2018
Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
doaj   +1 more source

Skewness in Banach spaces [PDF]

Transactions of the American Mathematical Society, 1983
Let E E be a Banach space. One often wants to measure how far E E is from being a Hilbert space. In this paper we define the skewness s ( E ) s(E) of a Banach space E E , 0 ⩽ s ( E ) ⩽ 2
Bruce Reznick, Simon Fitzpatrick
openaire   +1 more source

Normality of spaces of operators and quasi-lattices

, 2015
We give an overview of normality and conormality properties of pre-ordered Banach spaces. For pre-ordered Banach spaces $X$ and $Y$ with closed cones we investigate normality of $B(X,Y)$ in terms of normality and conormality of the underlying spaces $X ...
Messerschmidt, Miek
core   +1 more source

A Generalization of Uniformly Extremely Convex Banach Spaces

Journal of Function Spaces, 2016
We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes of k-uniformly rotund spaces and ...
Suyalatu Wulede, Wurichaihu Bai, Wurina Bao   +2 more
doaj   +1 more source

Non-solid cone b-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients

Open Mathematics, 2023
In this article, without requiring solidness of the underlying cone, a kind of new convergence for sequences in cone bb-metric spaces over Banach algebras and a new kind of completeness for such spaces, namely, wrtn-completeness, are introduced.
Xu Shaoyuan, Cheng Suyu, Han Yan
doaj   +1 more source

On M-spaces and Banach spaces [PDF]

, 2008
We define in this paper the concept of C-space, related with M-spaces and Banach spaces. We obtain various properties on these spaces and propose some open problems.
openaire   +1 more source

Compacta in Banach spaces [PDF]

, 2015
Capítulo 1. Después de estudiar algunos preliminares sobre familias adecuadas de conjuntos, formulamos y probamos algunas equivalencias, cada una de ellas son una condición suficiente para que la familia defina un conjunto compacto de Gul'ko. Damos una caracterización de conjunto compacto de Gul'ko en términos de emparejamiento con un conjunto ...
Alma Lucía, González Correa
openaire   +3 more sources