Results 81 to 90 of about 421,577 (266)
Unbounded continuous operators and unbounded Banach-Saks property in Banach lattices [PDF]
arXiv, 2020 Motivated by the equivalent definition of a continuous operator between Banach spaces in terms of weakly null nets, we introduce unbounded continuous operators by replacing weak convergence with the unbounded absolutely weak convergence ( $uaw$-convergence) in the definition of a continuous operator between Banach lattices.
arxiv
Reflexivity of a Banach Space with a Countable Vector Space Basis [PDF]
IOSR Journal of Mathematics (IOSR-JM), 18(1), (2022): pp. 36-38, 2022 All most all the function spaces over real or complex domains and spaces of sequences, that arise in practice as examples of normed complete linear spaces (Banach spaces), are reflexive. These Banach spaces are dual to their respective spaces of continuous linear functionals over the corresponding Banach spaces.
arxiv
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this article, we provided fixed‐point results for (Θ,G1)$$ \left(\Theta, {G}_1\right) $$‐quasirational contraction and (Θ,G2)$$ \left(\Theta, {G}_2\right) $$‐quasirational contraction within the setting of triple controlled metric‐like spaces.
Sadia Farooq +3 more
wiley +1 more source
The Szlenk Index and the Fixed Point Property under Renorming
Fixed Point Theory and Applications, 2010 Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R(X)<2, where R(⋅) is the ...
T. Domínguez Benavides
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this work, we combine two different existing two‐compartmental models of ethanol metabolism and propose a nonlinear three‐compartmental model of ethanol metabolism in the human body based on Michaelis‐Menten kinetics for elimination of ethanol in liver cells. Hence, we obtain a system of nonlinear differential equations, which describes the
Benjamin Wacker
wiley +1 more source
Open Mathematics, 2019 Let E be a generalized Cesáro sequence space defined by weighted means and by using s-numbers of operators from a Banach space X into a Banach space Y.
Bakery Awad A., Mohammed Mustafa M.
doaj +1 more source
Duality and o − O-structure in non reflexive Banach spaces
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 Let E be a Banach space with a supremum type norm induced by a collection of functionals ℒ ⊂ X* where X is a reflexive Banach space.
Luigi D'Onofrio +2 more
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa +3 more
wiley +1 more source
The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces
Mathematics, 2020 The Opial property of Hilbert spaces is essential in many fixed point theorems of non-expansive maps. While the Opial property does not hold in every Banach space, the Bregman–Opial property does.
Eskandar Naraghirad +2 more
doaj +1 more source
Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source