Results 41 to 50 of about 550,218 (272)

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

Approximative Compactness and Radon-Nikodym Property in w∗ Nearly Dentable Banach Spaces and Applications

Journal of Function Spaces, 2015
Authors define w∗ nearly dentable Banach space. Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator in w∗ nearly dentable space.
Shaoqiang Shang, Yunan Cui
doaj   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, EarlyView.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

Atomic decomposition for preduals of some Banach spaces [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2020
Given a Banach space E with a supremum type norm induced by a sequence L=(Lj) of linear forms Lj: X→ R on the Banach space X, we prove that if the unit ball BX is σ(X, L)- compact then E has a predual E* with an atomic decomposition.
Luigi D'Onofrio, Carlo Sbordone, Roberta Schiattarella   +2 more
doaj  

Optimization in Banach spaces

Journal of Mathematical Analysis and Applications, 1988
(i) Z” is non-void and does not contain origin (ii) Z#Y, Z’On(--f”)=@ and Zn(-Z’)=(O), where rodenotes the interior of Z’. For y, y’ in Y we define y 3 y’[ y > y’] if y y’ E Z [ y y’ E Z”]. It is easy to verify that 2 is a partial ordering in Y. For any positive integer k ( > 1) we denote by Y“ the Cartesian product Yx Yx ... x Y (k-times). For y= (yi,
P.C. Bhakta, Sumitra Roychaudhuri
openaire   +2 more sources

Moreau’s decomposition in Banach spaces [PDF]

Mathematical Programming, 2013
Moreau's decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended to reflexive Banach spaces and in the context of generalized proximity measures. This extension unifies and significantly improves upon existing results.
Combettes, Patrick Louis, Reyes, Noli
openaire   +5 more sources

Peer Effects in Bin ary Outcomes: Strategic Complementarity and Taste for Conformity With Endogenous Networks

Journal of Applied Econometrics, EarlyView.
ABSTRACT This paper introduces a generalized model of peer effects for binary outcomes, based on a network game that accounts for strategic complementarity (influence of the number of peers that select the same action) and conformity to social norms (penalizing deviations from the average peers' action).
Mathieu Lambotte
wiley   +1 more source

Strong convergence of an iterative sequence for maximal monotone operators in a Banach space

Abstract and Applied Analysis, 2004
We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by ...
Fumiaki Kohsaka, Wataru Takahashi
doaj   +1 more source