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The Weakly Interacting Massive Particles(WIMPs) have long been the favored CDM candidate in the standard $\Lambda$CDM model. However, owing to great improvement in the experimental sensitivity in the past decade, some parameter space of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-15 Abineet Parichha , Shiv Sethi

Fixed a Banach operator ideal $\mathcal A$, we introduce and investigate two new approximation properties, which are strictly weaker than the bounded approximation property (BAP) for $\mathcal A$ of Lima, Lima and Oja (2010). We call them…

Functional Analysis · Mathematics 2015-08-10 Silvia Lassalle , Eve Oja , Pablo Turco

In this article, we study a version of the Bishop-Phelps-Bollob\'as property. We investigate a pair of Banach spaces $(X, Y)$ such that every operator from $X$ into $Y$ is approximated by operators which attains its norm at the same point…

Functional Analysis · Mathematics 2016-05-03 Sheldon Dantas , Sun Kwang Kim , Han Ju Lee

We introduce a new extragradient iterative process, motivated and inspired by [S. H. Khan, A Picard-Mann Hybrid Iterative Process, Fixed Point Theory and Applications, doi:10.1186/1687-1812-2013-69], for finding a common element of the set…

Functional Analysis · Mathematics 2014-03-14 Ibrahim Karahan , Murat Ozdemir

In this article, we prove a weak type $(p,p)$ maximal inequality, $1<p<\infty$, for weighted averages of a positive Dunford-Schwarz operator $T$ acting on a noncommutative $L_p$-space associated to a semifinite von Neumann algebra…

Operator Algebras · Mathematics 2026-02-18 Morgan O'Brien

We investigate the notion of relative weak injectivity and its nuclearity related properties in the category of operator systems. We obtain several characterizations of the weak expectation property. We show that (c,max)-nuclearity…

Operator Algebras · Mathematics 2018-02-21 Ali S. Kavruk

This study delves into equilibrium problems, focusing on the identification of finite solutions for feasible solution sequences. We introduce an innovative extension of the weak sharp minimum concept from convex programming to equilibrium…

Optimization and Control · Mathematics 2024-01-15 Ruyu Wang , Wenling Zhao , Daojin Song , Yaozhong Hu

We establish universal approximation theorems for infinite-dimensional geometric rough paths, i.e., we show that continuous functions on the space of infinite-dimensional weakly geometric H\"older continuous rough paths can be approximated…

Probability · Mathematics 2026-03-04 Sonja Cox , Asma Khedher , Thijs Maessen

We characterize inclusions of compact noncommutative convex sets with the property that every continuous affine function on the smaller set can be extended to a continuous affine function on the larger set with a uniform bound. As an…

Operator Algebras · Mathematics 2025-08-06 Adam Humeniuk , Matthew Kennedy , Nicholas Manor

It is often said that measuring a system's position must disturb the complementary property, momentum, by some minimum amount due to the Heisenberg uncertainty principle. Using a "weak-measurement", this disturbance can be reduced. One…

Quantum Physics · Physics 2018-11-26 G. S. Thekkadath , F. Hufnagel , J. S. Lundeen

We consider random linear continuous operators $\Omega \to \mathcal{L}(\mathcal{H}, \mathcal{H})$ on a Hilbert space $\mathcal{H}$. For example, such random operators may be random quantum channels. The Central Limit Theorem is known for…

Functional Analysis · Mathematics 2025-10-07 S. V. Dzhenzher

Weak convergence of probability measures is one of the most important topics in the field probability and statistics. In this survey paper, we look at weak convergence of probability measures from the topological vector space point of view.…

Statistics Theory · Mathematics 2013-12-24 Liang Hong

Interfaces play a central role in determining compatible component compositions by prescribing permissible interactions between a service provider (server) and its consumers (clients). The high degree of concurrency in asynchronous…

Logic in Computer Science · Computer Science 2026-03-18 Debjyoti Bera , Tim A. C. Willemse

Weak measurement is a new technique which allows one to describe the evolution of postselected quantum systems. It appears to be useful for resolving a variety of thorny quantum paradoxes, particularly when used to study properties of pairs…

Quantum Physics · Physics 2009-11-10 K. J. Resch , A. M. Steinberg

The work studies the problem of decentralized constrained POMDPs in a team-setting where multiple nonstrategic agents have asymmetric information. Using an extension of Sion's Minimax theorem for functions with positive infinity and results…

Optimization and Control · Mathematics 2025-04-29 Nouman Khan , Vijay Subramanian

This article is a discussion of some characteristic properties in connection with global models, particularly for the application of prediction, such as the approximation property, the interpolation property and the transmission property.

Dynamical Systems · Mathematics 2014-12-10 Tove Dahn

We study the long-time asymptotics of a network of weakly reinforced P\'olya urns. In this system, which extends the WARM introduced by R. van der Hofstad et. al. (2016) to countable networks, the nodes fire at times given by a Poisson…

Probability · Mathematics 2021-06-28 Yannick Couzinié , Christian Hirsch

Recently, two stronger versions of dynamical properties have been introduced and investigated: strong topological transitivity, which is a stronger version of the topological transitivity property, and hypermixing, which is a stronger…

Functional Analysis · Mathematics 2023-04-06 Ian Curtis , Sean Griswold , Abigail Halverson , Eric Stilwell , Sarah Teske , David Walmsley , Shaozhe Wang

Certain quasi-exactly solvable systems exhibit an energy reflection property that relates the energy levels of a potential or of a pair of potentials. We investigate two sister potentials and show the existence of this energy reflection…

Quantum Physics · Physics 2009-11-07 Michael Kavic

We present some results concerning the almost sure behaviour of the operator norm or random Toeplitz matrices, including the law of large numbers for the norm, normalized by its expectation (in the i.i.d. case). As tools we present some…

Probability · Mathematics 2008-03-24 Radosław Adamczak
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