Results 61 to 70 of about 221 (157)
The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
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Abstract random differential equations with state-dependent delay using measures of noncompactness
Nonlinear AnalysisThis paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay.
Amel Heris +4 more
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Measures of noncompactness on the standard hilbert C*-module
Filomat, 2019 We define a measure of noncompactness ? on the standard Hilbert C*-module l2(A) over a unital C*-algebra, such that ?(E) = 0 if and only if E is A-precompact (i.e. it is ?-close to a finitely generated projective submodule for any ? > 0) and derive its properties.
Dragoljub Keckic, Zlatko Lazovic
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Holomorphic field theories and higher algebra
Bulletin 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
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Semigroups of operators and measures of noncompactness
Journal of Functional Analysis, 1971 AbstractIt is observed that the perturbation class of an open semigroup in a Banach algebra is a closed two-sided ideal. Certain seminorms on the algebra of bounded operators are introduced; these seminorms induce norms on the quotient algebra modulo the ideal of compact operators.
Lebow, Arnold, Schechter, Martin
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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
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An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay
Abstract and Applied Analysis, 2013 We deal with the existence of mild solutions of a class of nonlocal impulsive second-order functional differential equations with finite delay in a real Banach space .
Fang Li, Huiwen Wang
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Fractional dynamic system simulating the growth of microbe. [PDF]
Adv Differ Equ, 2021 Hadid SB, Ibrahim RW.
europepmc +1 more source
Some Properties of Measures of Noncompactness in Paranormed Spaces [PDF]
Proceedings of the American Mathematical Society, 1988 This paper presents new properties of important measures of noncompactness in paranormed spaces. Using these properties some fixed point theorems for multivalued mappings in general topological vector spaces are obtained in a straightforward way.
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Abstract and Applied Analysis, 2011 We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures
Fang Li, Gaston M. N'Guérékata
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