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   Articles with "quasi banach" as a keyword



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The unboundedness of Hausdorff operators on quasi‐Banach spaces

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recommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7716

Abstract: In this note, we show that the Hausdorff operator $H_{\Phi}$ is unbounded on a large family of Quasi-Banach spaces, unless $H_{\Phi}$ is a zero operator. read more here.

Keywords: hausdorff operators; unboundedness hausdorff; quasi banach; banach spaces ... See more keywords

Powers of quasi-Banach lattices and orthogonally additive polynomials

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.09.019

Abstract: Abstract The paper aims to examine convexity and concavity conditions for homogeneous orthogonally additive polynomials in quasi-Banach lattices. We characterize ( p , q ) -convex quasi-Banach lattice by the property that every positive orthogonally… read more here.

Keywords: banach lattices; powers quasi; quasi banach; additive polynomials ... See more keywords

Kantorovich–Wright integration and representation of quasi-Banach lattices

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.02.027

Abstract: Abstract The purpose of this article is to give some applications of the purely order based Kantorovich–Wright integration to functional representation of quasi-Banach lattices as well as to reveal its interrelations with the Bartle–Dunford–Schwartz topological… read more here.

Keywords: banach lattices; integration; wright integration; kantorovich wright ... See more keywords

The Definition of a Self-Similar function in Quasi-Banach Spaces

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recommendations! Published in 2019 at "Mathematical Notes"

DOI: 10.1134/s0001434619110348

Abstract: The definition of a self-similar function is extended to quasi-Banach Lebesgue spaces. A sufficient condition for a function with given self-similarity parameters to lie in some such space is given. read more here.

Keywords: self similar; quasi banach; similar function; definition self ... See more keywords

The perturbations of two general equations in several variables on quasi-Banach spaces

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recommendations! Published in 2024 at "Filomat"

DOI: 10.2298/fil2428013l

Abstract: In this paper, we study the stability of two general multi-variable functional equations on quasi-Banach spaces by the fixed point method. We also obtain generalizations of the early results on the stability of some classical… read more here.

Keywords: quasi banach; two general; general equations; banach spaces ... See more keywords