Results 71 to 80 of about 155,050 (273)
This note presents a useful tool in Banach space theory: ultraproducts of Banach spaces. These provide a uniform method for manufacturing locally similar Banach spaces. In this way they relate local (finite dimensional) and global (infinite dimensional) structure.
openaire +2 more sources
ABSTRACT The existence of one or two strictly positive solutions of Neumann boundary value problems is studied in this paper where the nonlinearities are L1$$ {L}^1 $$‐Carathéodory functions, so they are not necessarily continuous. Additional weaker and better conditions than those used in previous results are posted on the nonlinearities to obtain ...
Kunquan Lan, Gustavo Cicchini Santos
wiley +1 more source
Arens Regularity and Weak Amenability of Certain Matrix Algebras [PDF]
Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system.
doaj
Lipschitz measures and vector-valued Hardy spaces
We define certain spaces of Banach-valued measures called Lipschitz measures. When the Banach space is a dual space X*, these spaces can be identified with the duals of the atomic vector-valued Hardy spaces HXp(ℝn ...
Magali Folch-Gabayet +2 more
doaj +1 more source
A General Dynamic Programming Approach to the Optimal Water Storage Management for Irrigation
ABSTRACT This paper proposes a dynamic programming approach targeted to solve a natural resource problem of water storage management for irrigation in an environmentally and socially sustainable way. The problem we address in our formulation, focusing on the control of water storage in tanks, is based on assumptions that are less restrictive than those
Abdelkader Belhenniche +3 more
wiley +1 more source
Some Intersections of the Weighted -Spaces
Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided.
F. Abtahi +3 more
doaj +1 more source
This work performs a study of the category of complete matrix-normed spaces, called matricial Banach spaces. Many of the usual constructions of Banach spaces extend in a natural way to matricial Banach spaces, including products, direct sums, and ...
Grilliette, Will
core
The uniqueness-of-norm problem for Calkin algebras
We examine the question of whether the Calkin algebra of a Banach space must have a unique complete algebra norm. We present a survey of known results, and make the observation that a recent Banach space construction of Argyros and Motakis (preprint ...
Skillicorn, Richard
core +1 more source
On the Mean‐Field Limit of Consensus‐Based Methods
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space
The generalized numerical index of a Banach space is introduced, and its properties on certain Banach spaces are studied. Ed-dari's theorem on the numerical index is extended to the generalized index and polynomial numerical index of a Banach space.
Sung Guen Kim, Han Ju Lee
doaj +1 more source

