Results 1 to 10 of about 73 (44)

Uniformly factoring weakly compact operators and parametrised dualisation

Forum of Mathematics, Sigma, 2021
This article deals with the problem of when, given a collection $\mathcal {C}$ of weakly compact operators between separable Banach spaces, there exists a separable reflexive Banach space Z with a Schauder basis so that every element in $\mathcal {C ...
L. Antunes, K. Beanland, B. M. Braga
doaj   +1 more source

The dual of the space of bounded operators on a Banach space

Concrete Operators, 2021
Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of
Botelho Fernanda, Fleming Richard J.
doaj   +1 more source

Viscosity iterative method for a new general system of variational inequalities in Banach spaces

Journal of Inequalities and Applications, 2013
In this paper, we study a new iterative method for finding a common element of the set of solutions of a new general system of variational inequalities for two different relaxed cocoercive mappings and the set of fixed points of a nonexpansive mapping in
S. Imnang
semanticscholar   +2 more sources

The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces

Open Mathematics, 2020
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
doaj   +1 more source

Regular Banach space net and abstract-valued Orlicz space of range-varying type

Open Mathematics, 2019
This paper investigates the abstract-valued Orlicz space of range-varying type. We firstly give the notions and examples of partially continuous modular net and regular Banach space net of type (II), then deal with the definitions, constructions, and ...
Zhang Qinghua, Zhu Yueping
doaj   +1 more source

On the projection constants of some topological spaces and some applications

Abstract and Applied Analysis, Volume 6, Issue 5, Page 299-308, 2001., 2001
We find a lower estimation for the projection constant of the projective tensor product X⊗ ∧Y and the injective tensor product X⊗ ∨Y, we apply this estimation on some previous results, and we also introduce a new concept of the projection constants of operators rather than that defined for Banach spaces.
Entisarat El-Shobaky, Sahar Mohammed Ali, Wataru Takahashi   +2 more
wiley   +1 more source

Set quantities and Tauberian operators

Abstract and Applied Analysis, Volume 6, Issue 7, Page 431-440, 2001., 2001
The concept of convexity plays an important role in the classical geometry of normed spaces and it is frequently used in several branches of nonlinear analysis. In recent years some papers that contain generalizations of the concept of convexity with the help of the measures of noncompactness have appeared.
Sergio Falcon, Kishin Sadarangani
wiley   +1 more source

Abstract-valued Orlicz spaces of range-varying type

Open Mathematics, 2018
This paper mainly deals with the abstract-valued Orlicz spaces of range-varying type. Using notions of Banach space net and continuous modular net etc., we give definitions of Lϱθ(⋅)(I, Xθ(⋅)) and L+ϱθ(⋅)$\begin{array}{} L_{+}^{\varrho_{\theta(\cdot)}} \
Zhang Qinghua
doaj   +1 more source

Approximately algebraic tensor products

, 2015
Let X and Y be normed spaces over a complete field F with dual spaces X 0 and Y 0 respectively. Under certain hypotheses, for given x 2X , y 2 Y and a mapping u fromX 0 Y 0 to F , we apply Hyers–Ulam approach to find a unique bounded bilinear mapping v ...
I. Nikoufar, T. Rassias
semanticscholar   +1 more source

On strictly convex and strictly 2‐convex 2‐normed spaces II

International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 417-423, 1992., 1992
In this paper a new duality mapping is defined, and it is our object to show that there is a similarity among these three types of characterizations of a strictly convex 2‐normed space. This enables us to obtain more new results along each of two types of characterizations.
C.-S. Lin
wiley   +1 more source