Results 61 to 70 of about 421,577 (266)
The order-type Banach-Saks properties [PDF]
arXiv, 2020 The study of the Banach-Saks property in Banach spaces has a long and illustrious history. Of late, motivated by applications in financial mathematics, interest has arisen in the Banach-Saks type properties with respect to order convergence. This paper presents a study of order Banach-Saks properties in Banach function spaces, and in particular in ...
arxiv
Proximinality in Banach spaces
Journal of Mathematical Analysis and Applications, 2008 AbstractIn this paper, we study approximatively τ-compact and τ-strongly Chebyshev sets, where τ is the norm or the weak topology. We show that the metric projection onto τ-strongly Chebyshev sets are norm-τ continuous. We characterize approximatively τ-compact and τ-strongly Chebyshev hyperplanes and use them to characterize factor reflexive ...
Bandyopadhyay, Pradipta +3 more
openaire +2 more sources
Banach Lattice Structures and Concavifications in Banach Spaces
Mathematics, 2020 Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ) → E . In this case, it is possible to define an order and, consequently, a lattice structure for E in such a way that we can ...
Agud Albesa, Lucia +3 more
openaire +4 more sources
Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space
Abstract and Applied Analysis, 2013 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
Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian [PDF]
Communications in Mathematical Physics 373, 795--858, 2020, 2018 The first part of this paper is devoted to the theory of Poisson-Lie groups in the Banach setting. Our starting point is the straightforward adaptation of the notion of Manin triples to the Banach context. The difference with the finite-dimensional case lies in the fact that a duality pairing between two non-reflexive Banach spaces is necessary weak ...
arxiv +1 more source
On incomparability of Banach spaces [PDF]
Mathematische Zeitschrift, 1986 Several concepts of incomparability of Banach spaces have been considered in the literature, which allow one to describe some of the properties of the product of two Banach spaces as a juxtaposition of the corresponding properties of the factors. In this paper we study the relations between these concepts of incomparability, survey the main results and
González, Manuel, Onieva, Victor M.
openaire +1 more source
Some Intersections of the Weighted -Spaces
Abstract and Applied Analysis, 2013 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
Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
wiley +1 more source
Sectional representation of Banach modules and their multipliers
International Journal of Mathematics and Mathematical Sciences, 2003 Let X be a Banach module over the commutative Banach algebra A with maximal ideal space Δ. We show that there is a norm-decreasing representation of X as a space of bounded sections in a Banach bundle π:ℰ→Δ, whose fibers are quotient modules of X.
Terje Hõim, D. A. Robbins
doaj +1 more source