Results 31 to 40 of about 1,363 (195)
Variational Convexity of Functions in Banach Spaces
, 2023 This paper addresses the study and characterizations of variational convexity of extended-real-valued functions on Banach spaces. This notion has been recently introduced by Rockafellar, and its importance has been already realized and applied to continuous optimization problems in finite-dimensional spaces.
Khanh, Pham Duy +3 more
openaire +2 more sources
Banach algebra of the Fourier multipliers on weighted Banach function spaces
Concrete Operators, 2015 Let MX,w(ℝ) denote the algebra of the Fourier multipliers on a separable weighted Banach function space X(ℝ,w).We prove that if the Cauchy singular integral operator S is bounded on X(ℝ, w), thenMX,w(ℝ) is continuously embedded into L∞(ℝ).
Karlovich Alexei
doaj +1 more source
Indagationes Mathematicae, 2002 Suppose \((\Omega, {\mathcal A}, \mu)\) is a \(\sigma\)-finite measure space and \(L^\infty (\Omega , \mu)\) the classical \(M\)-space of \(\mu\)-essentially bounded real \(\mu\)-measurable functions. This paper presents the author's detailed analysis of the so-called Banach function \(M\)-spaces. A special case is the \(L^\infty\)-modules of \(\mathbb
openaire +2 more sources
Food Safety and Health, EarlyView.Planned harvesting and processing of marine macroalgae could meet future global food needs and mitigate fuel‐originated carbon dioxide responsible for climate change. Microalgal foods are nutritious and safe. The utilization of macroalgae would avoid environmental problems arising from the release of overgrowing macroalgae caused by heatwaves, which ...
Upali Samarajeewa
wiley +1 more source
Local Uniform Convexity and Kadec-Klee Type Properties in K-interpolation spaces II
Journal of Function Spaces and Applications, 2004 We study local uniform convexity and Kadec-Klee type properties in K-interpolation spaces of Lorentz couples. We show that a wide class of Banach couples of (commutative and) non-commutative Lorentz spaces possess the (so-alled) (DGL)-property originally
Peter G. Dodds +3 more
doaj +1 more source
Amenability Constants for Unconditional Sums of Banach Algebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
wiley +1 more source
On an extension of a global implicit function theorem
Comptes Rendus. Mathématique, 2022 We study the existence of global implicit functions for equations defined on open subsets of Banach spaces. The partial derivative with respect to the second variable is only required to have a left inverse instead of being invertible. Generalizing known
Berger, Thomas, Haller, Frédéric
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Representation of Spaces of Entire Functions on Banach Spaces
Publications of the Research Institute for Mathematical Sciences, 2009 We prove the impossibility of expressing the space of entire functions on any infinite dimensional complex Banach space with a Schauder basis E as a countable union of spaces of entire functions that are bounded on countable open covers of
Ansemil, José M. +2 more
openaire +2 more sources