Results 41 to 50 of about 173,309,611 (138)
Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]
, 2006 2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips.
da Silva, Eduardo Brandani +1 more
core
Compact operators on Cesàro sequence spaces and norms of Cesàro operators [PDF]
, 2023 This paper deals with the characterization of compact operators on Cesàro sequence spaces as an application of Hausdorff measure of noncompactness. Further, the norms of Cesàro operators on certain spaces are investigated. © 2023, University of Nis.
Kara, Merve İlkhan +3 more
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Twisted ambidexterity in equivariant homotopy theory
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
On Convergence of a Family of Random Walks in the Infinite Dimensional Stiefel Manifold
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we study random walks taking values in an infinite‐dimensional space—either a Hilbert space or an infinite‐dimensional manifold embedded in it, such as the Stiefel manifold. These random walks arise in problems in shape theory, particularly when stochastic optimization is applied.
Andrea C. G. Mennucci, Shikha Binwal
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
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
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
openaire +3 more sources
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This work introduces an innovative analytical framework for studying finite systems of nonlinear tripled‐variable fractional singular Volterra integral equations in the Banach space. The investigation combines the technique of measures of noncompactness with fixed point theorem to establish new solvability criteria for highly nonlinear finite ...
Hasanen A. Hammad +2 more
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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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the existence of mild solutions and optimal controls for a class of second‐order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history‐dependent operators, and Clarke′s generalized subdifferential in Hilbert spaces. The novelty of the proposed framework lies in the simultaneous treatment
Hasanen A. Hammad +3 more
wiley +1 more source