Banach space - Open Access .click

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International Journal of Mathematics and Mathematical Sciences, 2001
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k such that 0 ...
A. B. Thaheem, AbdulRahim Khan
doaj +1 more source

A New Characterization of k-Uniformly Rotund Banach Space

Journal of Function Spaces, 2015
A new characterization of k-uniformly rotund Banach space with ...
Suyalatu Wulede, Tingting Li, Xuan Qin
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On the weak uniform rotundity of Banach spaces

International Journal of Mathematics and Mathematical Sciences, 2003
We prove that if Xi,i=1,2,…, are Banach spaces that are weak* uniformly rotund, then their lp product space (p>1) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly ...
Wen D. Chang, Ping Chang
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Ball Covariance: A Generic Measure of Dependence in Banach Space. [PDF]

J Am Stat Assoc, 2020
Pan W, Wang X, Zhang H, Zhu H, Zhu J.
europepmc +1 more source

Kergin approximation in Banach spaces

Journal of Approximation Theory, 2008
We explore the convergence of Kergin interpolation polynomials of holomorphic functions in Banach spaces, which need not be of bounded type. We also investigate a case where the Kergin series diverges.
openaire +3 more sources

On the convexity of the weakly compact Chebyshev sets in Banach spaces

, 2000
A sufficient condition for a Banach space X is given so that every weakly compact Chebyshev subset of X is convex. For this purpose a class broader than that of smooth Banach spaces is defined. In this way a former result of A. Brondsted and A. L.
Kanellopoulos, V
core +1 more source

Some properties of Banach-valued sequence spaces ℓp[X]

International Journal of Mathematics and Mathematical Sciences, 2001
We discuss some properties of the Banach-valued sequence space ℓp[X](1 ...
Qingying Bu
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Equilibria in reflexive Banach lattices with a continuum of agents. [PDF]

We consider exchange economies with a measure space of agents and for which the commodity space is a separable and reflexive Banach lattice. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras ...
Monteiro, Paulo K. +2 more
core

A Grothendieck-Type Compactness Principle for Super Weakly Compact Sets

Mathematics
The classical Grothendieck compactness principle states that every norm-compact subset of a Banach space lies in the closed convex hull of a norm null sequence.
Jianjian Wang, Chunyan Luo, Junxi Chen
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A Theorem of Rolewicz's Type for Measurable Evolution Families in Banach Spaces [PDF]

, 2001
Let $varphi$ be a positive and non-decreasing function defined on the real half-line and ${mathcal U}$ be a strongly measurable, exponentially bounded evolution family of bounded linear operators acting on a Banach space and satisfing a certain ...
Constantin Buse +3 more
core

mathematics