Results 61 to 70 of about 855 (128)

Persistence of unknottedness of clean Lagrangian intersections

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

On interpolation of the measure of noncompactness [PDF]

, 2006
We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real ...
Cobos, Fernando, Fernández-Cabrera, Luz M., Martínez, Antón   +2 more
core   +2 more sources

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

On the properties of the solution set map to Volterra integral inclusion

, 2017
For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map,
Pietkun, Radosław
core   +1 more source

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, Minh Lam Nguyen   +1 more
wiley   +1 more source

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, Fernanadez, Dicesar L.   +1 more
core  

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
wiley   +1 more source

Existence of solutions for differential inclusions on closed moving constraints in Banach spaces

Electronic Journal of Differential Equations, 2009
In this paper, we prove the existence of solutions to a multivalued differential equation with moving constraints. We use a weak compactness type condition expressed in terms of a strong measure of noncompactness.
Adel Mahmoud Gomaa
doaj  

Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation

Applied General Topology
In this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the
Mohamed Khazou, Abdelmjid Khchine
doaj   +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