Results 41 to 50 of about 813 (141)

An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique

Fractal and Fractional, 2021
In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem, Lamya Almaghamsi, Faris Alzahrani   +2 more
doaj   +1 more source

Some Paranormed Difference Sequence Spaces of Order $m$ Derived by Generalized Means and Compact Operators [PDF]

, 2016
We have introduced a new sequence space $l(r, s, t, p ;\Delta^{(m)})$ combining by using generalized means and difference operator of order $m$. We have shown that the space $l(r, s, t, p ;\Delta^{(m)})$ is complete under some suitable paranorm and it ...
Maji, Amit, Srivastava, P. D.
core  

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

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

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

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

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

Journal 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

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, G. Trombetta, D. Caponetti   +2 more
doaj   +2 more sources

Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces

Abstract and Applied Analysis, 2012
We determine the conditions for some matrix transformations from n(ϕ), where the sequence space n(ϕ), which is related to the ℓp spaces, was introduced by Sargent (1960).
M. Mursaleen, A. Latif
doaj   +1 more source

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

Mathematical 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, Carlos Pecorari Neto, Heraclio López Lázaro, Paulo N. Seminario Huertas   +3 more
wiley   +1 more source