Results 91 to 100 of about 550,218 (272)
The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces
Mathematics, 2020 The Opial property of Hilbert spaces is essential in many fixed point theorems of non-expansive maps. While the Opial property does not hold in every Banach space, the Bregman–Opial property does.
Eskandar Naraghirad +2 more
doaj +1 more source
Linear $L$-positive sets and their polar subspaces
, 2012 In this paper, we define a Banach SNL space to be a Banach space with a certain kind of linear map from it into its dual, and we develop the theory of linear $L$-positive subsets of Banach SNL spaces with Banach SNL dual spaces.
A Brøndsted +9 more
core +1 more source
Unbounded continuous operators and unbounded Banach-Saks property in Banach lattices [PDF]
arXiv, 2020 Motivated by the equivalent definition of a continuous operator between Banach spaces in terms of weakly null nets, we introduce unbounded continuous operators by replacing weak convergence with the unbounded absolutely weak convergence ( $uaw$-convergence) in the definition of a continuous operator between Banach lattices.
arxiv
Rough PDEs for Local Stochastic Volatility Models
Mathematical Finance, EarlyView.ABSTRACT In this work, we introduce a novel pricing methodology in general, possibly non‐Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time‐inhomogeneous Markov process. Using tools from rough path theory, we describe how to precisely
Peter Bank +3 more
wiley +1 more source
Reflexivity of a Banach Space with a Countable Vector Space Basis [PDF]
IOSR Journal of Mathematics (IOSR-JM), 18(1), (2022): pp. 36-38, 2022 All most all the function spaces over real or complex domains and spaces of sequences, that arise in practice as examples of normed complete linear spaces (Banach spaces), are reflexive. These Banach spaces are dual to their respective spaces of continuous linear functionals over the corresponding Banach spaces.
arxiv
Discrete subgroups of normed spaces are free
Bulletin of the London Mathematical Society, EarlyView.Abstract Ancel, Dobrowolski and Grabowski (Studia Math. 109 (1994): 277–290) proved that every countable discrete subgroup of the additive group of a normed space is free Abelian, hence isomorphic to the direct sum of a certain number of copies of the additive group of the integers.
Tomasz Kania, Ziemowit Kostana
wiley +1 more source
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
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On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, EarlyView.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
Journal of Function SpacesLet X be a nonempty set, A be a commutative Banach algebra, and 1 ...
Shirin Tavkoli +2 more
doaj +1 more source
ITM Web of Conferences, 2018 In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space.
Auwalu Abba
doaj +1 more source