Results 121 to 130 of about 550,218 (272)
Sectional representation of Banach modules and their multipliers
International Journal of Mathematics and Mathematical Sciences, 2003 Let X be a Banach module over the commutative Banach algebra A with maximal ideal space Δ. We show that there is a norm-decreasing representation of X as a space of bounded sections in a Banach bundle π:ℰ→Δ, whose fibers are quotient modules of X.
Terje Hõim, D. A. Robbins
doaj +1 more source
The Monotone Contraction Mapping Theorem
Journal of Mathematics, 2020 In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.
Joseph Frank Gordon
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Generalizing the Paley-Wiener perturbation theory for Banach spaces [PDF]
arXiv, 1997 We extend the Paley-Wiener pertubation theory to linear operators mapping a subspace of one Banach space into another Banach space.
arxiv
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2007 Let $G$ be a separable locally compact unimodular group of type I, $ \widehat{G}$ be its dual, $\hat{p}$ is a measurable field of, not necessary bounded, operators on $\widehat{G}$ such that $\hat{p}(\pi)$ is self-adjoint, $\hat{p}(\pi) \geq I$ for $\mu-$almost all $\pi \in \widehat{G}$, and $$A_{\hat{p} }(G) =\{f(x):=\int_{ \widehat{G}} Tr[\hat{f}(\pi)
openaire +4 more sources
Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model
GAMM-Mitteilungen, Volume 48, Issue 2, June 2025.Abstract We consider a local Cahn–Hilliard‐type model for tumor growth as well as a nonlocal model where, compared to the local system, the Laplacian in the equation for the chemical potential is replaced by a nonlocal operator. The latter is defined as a convolution integral with suitable kernels parametrized by a small parameter.
Christoph Hurm, Maximilian Moser
wiley +1 more source
The Banach-Saks Properties in Orlicz-Lorentz Spaces
Abstract and Applied Analysis, 2014 The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
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Blowing‐Up Solution of a System of Fractional Differential Equations With Variable Order
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9726-9743, June 2025.ABSTRACT We investigated the necessary condition for blowing‐up solutions in finite time of the system u′(t)+(1)D0|tα(t)(u(t)−u0)=|v(t)|q,t>0,q>1,v′(t)+(1)D0|tβ(t)(v(t)−v0)=|u(t)|p,t>0,p>1$$ {u}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\alpha (t)}\left(u(t)-{u}_0\right)={\left|v(t)\right|}^q,\kern0.3em t>0,q>1,{v}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\beta ...
Muhammad Rizki Fadillah, Mokhtar Kirane
wiley +1 more source
A description of the Stone space of Banach lattice C(K,E)
Journal of Function Spaces and Applications, 2006 We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
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Some isomorphically polyhedral Orlicz sequence spaces [PDF]
arXiv, 1993 A Banach space is polyhedral if the unit ball of each of its finite dimensional subspaces is a polyhedron. It is known that a polyhedral Banach space has a separable dual and is $c_0$-saturated, i.e., each closed infinite dimensional subspace contains an isomorph of $c_0$.
arxiv
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9920-9933, June 2025.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