Results 61 to 70 of about 550,218 (272)

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, H. G. Amini, H. A. Lotfi, A. Rejali   +3 more
doaj   +1 more source

Dilations of frames, operator valued measures and bounded linear maps

, 2014
We will give an outline of the main results in our recent AMS Memoir, and include some new results, exposition and open problems. In that memoir we developed a general dilation theory for operator valued measures acting on Banach spaces where operator ...
Han, Deguang, Larson, David R., Liu, Bei, Liu, Rui   +3 more
core   +1 more source

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  

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

Spatially Periodic Solutions for Evolution Anisotropic Variable‐Coefficient Navier–Stokes Equations: II. Serrin‐Type Solutions

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider evolution (nonstationary) space‐periodic solutions to the n$$ n $$‐dimensional nonlinear Navier–Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed ellipticity condition.
Sergey E. Mikhailov
wiley   +1 more source

Bishop-Phelps-Bolloba's theorem on bounded closed convex sets [PDF]

, 2014
This paper deals with the \emph{Bishop-Phelps-Bollob\'as property} (\emph{BPBp} for short) on bounded closed convex subsets of a Banach space $X$, not just on its closed unit ball $B_X$.
Cho, Dong Hoon, Yun Sung Choi
core  

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

Non-expansive bijections between unit balls of Banach spaces (A technical version with some boring proofs included)

, 2018
It is known that if $M$ is a finite-dimensional Banach space, or a strictly convex space, or the space $\ell_1$, then every non-expansive bijection $F: B_M \to B_M$ is an isometry.
Zavarzina, Olesia
core   +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

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, Li, Yongjin, Lin, Bor-Luh, Narayana, Darapaneni   +3 more
openaire   +2 more sources