Results 61 to 70 of about 175 (113)

Quantitative weak compactness [PDF]

open access: yes, 2012
In this thesis we study quantitative weak compactness in spaces (C(K), τp) and later in Banach spaces. In the first chapter we introduce several quantities, which in different manners measure τp-noncompactness of a given uniformly bounded set H ⊂ RK . We
Rolínek, Michal
core  

Measures of Weak Noncompactness and Fixed Point Theory for 1-Set Weakly Contractive Operators on Unbounded Domains

open access: yesAnalysis in Theory and Applications, 2011
Summary: The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation \(F (x)=\alpha x\) (\(\alpha\geq 1\)) for so-called 1-set weakly contractive operators on unbounded domains in Banach spaces.
Xu, Shaoyuan, Ben Amar, Afif
openaire   +2 more sources

Holomorphic field theories and higher algebra

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Factorizations and minimality of the Calkin Algebra norm for C(K)$C(K)$‐spaces

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract For a scattered, locally compact Hausdorff space K$K$, we prove that the essential norm on the Calkin algebra B(C0(K))/K(C0(K))$\mathcal {B}(C_0(K))/\mathcal {K}(C_0(K))$ is a minimal algebra norm. The proof relies on establishing a quantitative factorization for the identity operator on c0$c_0$ through noncompact operators T:C0(K)→X$T: C_0(K)
Antonio Acuaviva
wiley   +1 more source

Generalized φ‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13456-13474, 30 September 2025.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan   +3 more
wiley   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli   +2 more
wiley   +1 more source

Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2571-2629, September 2025.
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley   +1 more source

Weak solutions for hyperbolic partial fractional differential inclusions in Banach spaces

open access: yes, 2012
In this paper, we investigate the existence of solutions under the Pettis integrability assumption for an initial value problem for a hyperbolic differential inclusion of Caputo fractional order.
Henderson, Johnny   +2 more
core   +1 more source

On the synergy between myelin proteins P0, MBP, and P2 in peripheral nerve major dense line formation

open access: yesThe FEBS Journal, Volume 292, Issue 15, Page 3960-3985, August 2025.
Myelin is a multilayered proteolipid membrane in the nervous system. The lipid membranes are held together by specific proteins, and here, we studied three such proteins—P0, MBP, and P2. Our experiments show that the three proteins may act in synergy at the molecular level, while they also compete for lipid membrane surface binding.
Oda C. Krokengen   +9 more
wiley   +1 more source

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