Results 61 to 70 of about 11,694 (136)

Averaging multipliers on locally compact quantum groups

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws, Jacek Krajczok, Christian Voigt   +2 more
wiley   +1 more source

Arveson's extension theorem in *-algebras

, 2013
Arveson's extension theorem asserts that B(H) is an injective object in the category of operator systems. Calling every self adjoint unital subspace of a unital *-algebra, a quasi operator system, we show that Arveson's theorem remains valid in the much ...
Esslamzadeh, G. H., Turowska, L.
core  

Construction of the log‐convex minorant of a sequence {Mα}α∈N0d$\lbrace M_\alpha \rbrace _{\alpha \in \mathbb {N}_0^d}$

Mathematische Nachrichten, Volume 298, Issue 2, Page 456-477, February 2025.
Abstract We give a simple construction of the log‐convex minorant of a sequence {Mα}α∈N0d$\lbrace M_\alpha \rbrace _{\alpha \in \mathbb {N}_0^d}$ and consequently extend to the d$d$‐dimensional case the well‐known formula that relates a log‐convex sequence {Mp}p∈N0$\lbrace M_p\rbrace _{p\in \mathbb {N}_0}$ to its associated function ωM$\omega _M$, that
Chiara Boiti, David Jornet, Alessandro Oliaro, Gerhard Schindl   +3 more
wiley   +1 more source

Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex economies [PDF]

In this paper, we prove a new version of the Second Welfare Theorem for economies with a finite number of agents and an infinite number of commodities, when the preference correspondences are not convex-valued and/or when the total production set is not ...
Alejandro Jofré, Monique Florenzano, Pascal Gourdel   +2 more
core  

Sumsets and entropy revisited

Random Structures &Algorithms, Volume 66, Issue 1, January 2025.
Abstract The entropic doubling σent[X]$$ {\sigma}_{\mathrm{ent}}\left[X\right] $$ of a random variable X$$ X $$ taking values in an abelian group G$$ G $$ is a variant of the notion of the doubling constant σ[A]$$ \sigma \left[A\right] $$ of a finite subset A$$ A $$ of G$$ G $$, but it enjoys somewhat better properties; for instance, it contracts upon ...
Ben Green, Freddie Manners, Terence Tao
wiley   +1 more source

On the New Hahn Sequence Space h(2)

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
This paper investigates the properties and structural characteristics of the new Hahn sequence space defined by using the second‐order forward difference operator. First, we introduce the new Hahn sequence space: h2=x=xl∈ω:∑l=1∞l+1 Δ2xl<∞, liml→∞xl=0, of order two. Then, we show some topological properties of this new sequence space h(2), and calculate
Orhan Tuğ, Alberto Fiorenza
wiley   +1 more source

Fundamental theorems of functional analysis and applications

, 2016
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: María Jesús Carro RossellAmong the fundamental theorems of Functional Analysis are the open mapping theorem, the closed graph theorem, the ...
Bastons García, Joan Carles
core  

On the Double Sequence Space Hϑ as an Extension of Hahn Space h

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Double sequence spaces have become a significant area of research within functional analysis due to their applications in various branches of mathematics and mathematical physics. In this study, we investigate Hahn double sequence space denoted as Hϑ, where ϑ ∈ {p, bp, r}, as an extension of the Hahn sequence space h.
Orhan Tuǧ, Eberhard Malkowsky, Vladimir Rakoćević, Taja Yaying, Bilal Bilalov   +4 more
wiley   +1 more source

Two-Rank and Atomic Solutions of a Bateman–Burgers Type Equation via Functional Analytic Methods

Journal of Applied Mathematics
In this paper, we derive both a two-rank solution and an atomic solution for a Bateman–Burgers type partial differential equation. Specifically, we study an equation in which the second mixed derivative of the unknown function with respect to space and ...
Waseem Ghazi Alshanti, Ma’mon Abu Hammad, Roshdi Khalil   +2 more
doaj   +1 more source

Applications of the Hahn-Banach Theorem, a Solution of the Moment Problem and the Related Approximation

Mathematics
We start by an application the of Krein–Milman theorem to the integral representation of completely monotonic functions. Elements of convex optimization are also mentioned. The paper continues with applications of Hahn–Banach-type theorems and polynomial
Octav Olteanu
doaj   +1 more source