Results 41 to 50 of about 269 (133)
Erratum to: Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure [PDF]
, 2019 [1, Theorem 4.4] states that every infinite dimensional Banach space admits a homogenous measure of noncompactness not equivalent to the Hausdorff measure. Howevere, there is a gap in the proof. In fact, we found that [1, Lemma 4.3] is not true.
Lixin Cheng +3 more
core +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan +5 more
wiley +1 more source
Acoustic waves interacting with non–locally reacting surfaces in a Lagrangian framework
Mathematische Nachrichten, Volume 298, Issue 12, Page 3855-3892, December 2025.Abstract The paper deals with a family of evolution problems arising in the physical modeling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended reaction. They are all derived in a Lagrangian framework. We study well‐posedness of these problems, their mutual relations, and their relations with other evolution ...
Enzo Vitillaro
wiley +1 more source
Rearrangement and Convergence in Spaces of Measurable Functions
Journal of Inequalities and Applications, 2007 We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta +2 more
doaj +2 more sources
Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
Hausdorff measure of noncompactness of certain matrix operators on absolute Nörlund spaces
, 2021 Summary: The absolute Nörlund spaces \(|N_p^u|_k\), \( k\geq 1\), have more recently been introduced and studied by \textit{G.~C. Hazar} and \textit{M.~A. Sarigöl} [Acta Math. Sin., Engl. Ser. 34, No.~5, 812--826 (2018; Zbl 1404.40005)]. In the present paper, we characterize the classes of infinite matrix and compact operators transforming from \(|N_p ...
Gulec, Canan Hazar, Sarigol, Mehmet Ali
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Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Solutions of two-term time fractional order differential equations with nonlocal initial conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study the existence of mild solutions for the two-term fractional order abstract differential equation $${D}^{\alpha+1}_t u(t) + \mu {D}_t^{\beta} u(t) - Au(t) = D^{\alpha-1}_t f(t,u(t)), \quad t\in [0,1], \quad 0 < \alpha \leq \beta \leq 1, \mu \geq ...
Carlos Lizama
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An Arzelà-Ascoli theorem for the Hausdorff measure of noncompactness
, 2013 6 ...
openaire +2 more sources