Results 11 to 20 of about 421,577 (266)
Nonzero positive solutions of fractional Laplacian systems with functional terms
Mathematische Nachrichten, Volume 296, Issue 1, Page 102-121, January 2023., 2023 Abstract We study the existence of nonzero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the notion of fixed point index, and allows us to deal with nonlocal functional weights and functional boundary conditions. We present two examples to shed light on the type
Stefano Biagi +2 more
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Sharp estimates for conditionally centered moments and for compact operators on Lp$L^p$ spaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 368-381, January 2023., 2023 Abstract Let (Ω,F,P)$(\Omega , \mathcal {F}, \mathbf {P})$ be a probability space, ξ be a random variable on (Ω,F,P)$(\Omega , \mathcal {F}, \mathbf {P})$, G$\mathcal {G}$ be a sub‐σ‐algebra of F$\mathcal {F}$, and let EG=E(·|G)$\mathbf {E}^\mathcal {G} = \mathbf { E}(\cdot | \mathcal {G})$ be the corresponding conditional expectation operator.
Eugene Shargorodsky, Teo Sharia
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Existence of multiple solutions for a wide class of differential inclusions†
Mathematische Nachrichten, Volume 296, Issue 1, Page 152-163, January 2023., 2023 Abstract We give a unified approach to study the existence of multiple positive solutions of nonlinear differential inclusions of the form −u′′(t)∈F(t,u(t)),a.e.t∈(0,1),$$\begin{equation*}\hskip7pc -u^{\prime \prime }(t)\in F(t,u(t)),\; \text{a.e.} \; t \in (0,1), \end{equation*}$$subject to various nonlocal boundary conditions. We study these problems
Filomena Cianciaruso +1 more
wiley +1 more source
Polish spaces of Banach spaces
Forum of Mathematics, Sigma, 2022 AbstractWe present and thoroughly study natural Polish spaces of separable Banach spaces. These spaces are defined as spaces of norms, respectively pseudonorms, on the countable infinite-dimensional rational vector space. We provide an exhaustive comparison of these spaces with admissible topologies recently introduced by Godefroy and Saint-Raymond and
Marek Cúth +3 more
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Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers
Journal of Function Spaces, 2020 Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
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Advances in Mathematics, 2005 We show that any Banach space contains a continuum of non isomorphic subspaces or a minimal subspace. We define an ergodic Banach space $X$ as a space such that $E_0$ Borel reduces to isomorphism on the set of subspaces of $X$, and show that every Banach space is either ergodic or contains a subspace with an unconditional basis $ which is ...
Valentin Ferenczi, Christian Rosendal
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Mathematical Methods in the Applied Sciences, Volume 46, Issue 1, Page 1178-1184, 15 January 2023., 2023 In this paper, we discuss the study of some signal processing problems within Bayesian frameworks and semigroups theory, in the case where the Banach space under consideration may be nonseparable. For applications, the suggested approach may be of interest in situations where approximation in the norm of the space is not possible.
Natasha Samko, Harpal Singh
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On Conjugate Space of a Fuzzy 2-Banach Space
Fuzzy Information and Engineering, 2016 The notion of conjugate space of a fuzzy 2-Banach space is introduced. Some of its properties are obtained as standard results. It is shown that the conjugate space B* of a fuzzy 2-Banach space B is a fuzzy 2-Banach space up to comparability.
A.R. Meenakshi, D. Cokilavany
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Mathematical Methods in the Applied Sciences, Volume 46, Issue 1, Page 1295-1316, 15 January 2023., 2023 We consider the upscaled linear elasticity problem in the context of periodic homogenization. Based on measurements of the deformation of the (macroscopic) boundary of a body for a given forcing, it is the aim to deduce information on the geometry of the microstructure.
Tanja Lochner, Malte A. Peter
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Journal of Function Spaces, 2022 In order to reconstruct elements from the range of a linear bounded operator K on a separable Banach space, concepts of K-frames and K∗-atomic systems for Banach spaces are introduced, the relationship between the two is discussed, and the sufficient ...
Baoguang Sun, Chunyan Li
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