Results 81 to 90 of about 4,708,050 (255)

Open problems in Banach spaces and measure theory

, 2016
We collect several open questions in Banach spaces, mostly related to measure theoretic aspects of the theory. The problems are divided into five categories: miscellaneous problems in Banach spaces (non-separable $L^p$ spaces, compactness in Banach ...
Rodriguez, Jose
core  

On Sharp Triangle Inequalities in Banach Spaces II

Journal of Inequalities and Applications, 2010
Sharp triangle inequality and its reverse in Banach spaces were recently showed by Mitani et al. (2007). In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces.
Kichi-Suke Saito, Ken-Ichi Mitani
doaj   +2 more sources

Approximate solution of a multivariable Cauchy-Jensen functional equation

AIMS Mathematics
Let $ n $ be an integer greater than $ 1 $. In this paper, we obtained the stability of the multivariable Cauchy-Jensen functional equation $ nf\bigg(x_1+{\cdots}+x_n, \frac {y_1+{\cdots}+y_n}n\bigg) = \sum\limits_{1\le i, j\le n}f(x_i, y_j) $ in
Jae-Hyeong Bae , Won-Gil Park
doaj   +1 more source

Spaceability in Banach and quasi-Banach sequence spaces

Linear Algebra and its Applications, 2011
Let $X$ be a Banach space. We prove that, for a large class of Banach or quasi-Banach spaces $E$ of $X$-valued sequences, the sets $E-\bigcup _{q\in }\ell_{q}(X)$, where $ $ is any subset of $(0,\infty]$, and $E-c_{0}(X)$ contain closed infinite-dimensional subspaces of $E$ (if non-empty, of course). This result is applied in several particular cases
Diogo Diniz, Daniel Pellegrino, Vinícius V. Fávaro, Geraldo Botelho   +3 more
openaire   +3 more sources

Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality

, 2014
In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the ...
Shaoyuan Xu, S. Radenović
semanticscholar   +1 more source

Sparse Machine Learning in Banach Spaces. [PDF]

Appl Numer Math, 2023
Xu Y.
europepmc   +1 more source

Bregman weak relatively nonexpansive mappings in Banach spaces

, 2013
In this paper, we introduce a new class of mappings called Bregman weak relatively nonexpansive mappings and propose new hybrid iterative algorithms for finding common fixed points of an infinite family of such mappings in Banach spaces.
E. Naraghirad, Jen-Chih Yao
semanticscholar   +1 more source

Banach-Saks Type and Gurariǐ Modulus of Convexity of Some Banach Sequence Spaces

Abstract and Applied Analysis, 2014
Banach-Saks type is calculated for two types of Banach sequence spaces and Gurariǐ modulus of convexity is estimated from above for the spaces of one type among them.
Henryk Hudzik, Vatan Karakaya, Mohammad Mursaleen, Necip Simsek   +3 more
doaj   +1 more source

A class of Banach spaces

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2007
Let $G$ be a separable locally compact unimodular group of type I, $ \widehat{G}$ be its dual, $\hat{p}$ is a measurable field of, not necessary bounded, operators on $\widehat{G}$ such that $\hat{p}(\pi)$ is self-adjoint, $\hat{p}(\pi) \geq I$ for $\mu-$almost all $\pi \in \widehat{G}$, and $$A_{\hat{p} }(G) =\{f(x):=\int_{ \widehat{G}} Tr[\hat{f}(\pi)
openaire   +4 more sources

Haar null closed and convex sets in separable Banach spaces. [PDF]

Bull Lond Math Soc, 2023
Ravasini D.
europepmc   +1 more source