Results 91 to 100 of about 6,188,577 (200)
On the Properties of Quasi-Banach Function Spaces
The Journal of Geometric AnalysisAbstractIn this paper we explore some basic properties of quasi-Banach function spaces which are important in applications. Namely, we show that they possess a generalised version of Riesz–Fischer property, that embeddings between them are always continuous, and that the dilation operator is bounded on them.
Aleš Nekvinda, Dalimil Peša
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Journal of Function Spaces, 2019 As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
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Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima +2 more
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Journal 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
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Abstract and Applied Analysis, 2003 The notions of relaxed submonotone and relaxed monotone mappings in Banach spaces are introduced and many of their properties are investigated. For example, the Clarke subdifferential of a locally Lipschitz function in a separable Banach space is relaxed
Tzanko Donchev, Pando Georgiev
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Type, cotype and convexity properties of quasi-Banach spaces
, 2004 Results on quasi-Banach spaces, their type and cotype together with the convexity and concavity of quasi-Banach lattices are collected. Several proofs are included.
Maligranda, Lech
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Regulated functions with values in Banach space
Mathematica 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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Extrapolation of Compactness on Banach Function Spaces
Journal of Fourier Analysis and ApplicationsAbstractWe prove an extrapolation of compactness theorem for operators on Banach function spaces satisfying certain convexity and concavity conditions. In particular, we show that the boundedness of an operator T in the weighted Lebesgue scale and the compactness of T in the unweighted Lebesgue scale yields compactness of T on a very general class of ...
Emiel Lorist, Zoe Nieraeth
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Notes on banach function spaces. IV
Indagationes Mathematicae (Proceedings), 1963 Luxemburg, W.A.J., Zaanen, A.C.
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Journal of Inequalities and ApplicationsIn uniformly convex Banach spaces, we study within this research Fibonacci–Ishikawa iteration for monotone asymptotically nonexpansive mappings. In addition to demonstrating strong convergence, we establish weak convergence result of the Fibonacci ...
Khairul Habib Alam +4 more
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