Results 91 to 100 of about 2,539 (196)

Remark on the Daugavet property for complex Banach spaces

open access: yesDemonstratio Mathematica
In this article, we study the Daugavet property and the diametral diameter two properties (DD2Ps) in complex Banach spaces. The characterizations for both Daugavet and Δ\Delta -points are revisited in the context of complex Banach spaces. We also provide
Lee Han Ju, Tag Hyung-Joon
doaj   +1 more source

Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm

open access: yesJournal of Inequalities and Applications, 2011
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
doaj  

Composition and convolution theorems for mu-Stepanov pseudo almost periodic functions and applications to fractional integro-differential equations

open access: yesElectronic Journal of Differential Equations, 2018
In this article we establish new convolution and composition theorems for $\mu$-Stepanov pseudo almost periodic functions. We prove that the space of vector-valued $\mu$-Stepanov pseudo almost periodic functions is a Banach space. As an application,
Edgardo Alvarez
doaj  

A Note on Banach Function Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1958
openaire   +1 more source

Regulated functions with values in Banach space

open access: yesMathematica Bohemica, 2019
A function \(f:[a,b]\to X\) of one real variable \(t\in [a,b]\) with values in a Banach space \(X\) is said to be regulated if at each point \(t\in [a,b]\) both the right limit \(f(t+)\) and the left limit \(f(t-)\) exist with the convention \(f(a-)=f(a)\), \(f(b+)=f(b)\). This paper gives an overview of topological properties of the space \(G([a,b];X)\
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Notes on Banach Function Spaces, XVa

open access: yesIndagationes Mathematicae (Proceedings), 1965
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Functional Inequalities in the Framework of Banach Spaces

open access: yesResults in Mathematics
AbstractThis paper aims to illustrate the usefulness of majorization theory and higher-order convexity in generalizing several classical inequalities as functional inequalities. This includes results due to Ball et al. (Invent Math 115:463-482, 1994), Hanner (Ark Mat 3:239-244, 1956), Popoviciu (Analele ştiinţifice Univ “Al. I.
openaire   +2 more sources

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