Functional Analysis Papers
@math_book
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New Functional Analysis submissions to https://t.co/zSUiqYyeon (not affiliated with https://t.co/zSUiqYyeon). Function spaces, real functions, integral transforms.
Worldwide
Joined October 2009
Generalized infinite dimensional Alpha-Procrustes based geometries by Salvish Goomanee, Andi Han, Pratik Jawanpuria, Bamdev Mishra
arxiv.org
This work extends the recently introduced Alpha-Procrustes family of Riemannian metrics for symmetric positive definite (SPD) matrices by incorporating generalized versions of the...
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On almost commuting unitary matrices by Adam Dor-On, Lucas Hall, Ilya Kachkovskiy
arxiv.org
A question going back to Halmos asks when two approximately commuting matrices of a certain kind are close to exactly commuting matrices of the same kind. It has long been known that there is a...
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Capacitary Muckenhoupt Weights and Weighted Norm Inequalities for Hardy-Littlewood Maximal Operators by Long Huang, Yangzhi Zhang, Ciqiang Zhuo
arxiv.org
Let $\mathcal H_{\infty}^δ$ denote the Hausdorff content of dimension $δ\in(0,n]$ defined on subsets of $\mathbb R^n$. The principal problem, considered in this paper, is to characterize...
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Heat semigroups on quantum automorphism groups of finite dimensional C*-algebras by Futaba Sato
arxiv.org
In this paper, we investigate heat semigroups on a quantum automorphism group ${\rm Aut}^+(B)$ of a finite dimensional C*-algebra $B$ and its Plancherel trace. We show ultracontractivity,...
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Spectral Barron spaces of vector-valued functions on compact groups by Yaogan Mensah, Isiaka Aremua
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Inclusion constants for free spectrahedra with applications to quantum incompatibility.
arxiv.org
Building on the matrix cube problem, inclusions of free spectrahedra have been used successfully to obtain relaxations of hard spectrahedral inclusion problems. The quality of such a relaxation is...
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Existence and Configuration of Invariant Sets in $C^\infty([a,b])$ on which the Differential Operator Exhibits Devaney's Chaos.
arxiv.org
In this paper, we investigate the chaotic behavior of the differential operator $\frac{d}{dx}$ on the space of smooth functions $C^\infty([a,b])$ equipped with the $L^p$-norm ($1\le p\le\infty$)....
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Minimizing numerical radius of weighted cyclic matrices under permutation of the weights.
arxiv.org
In this article we answer a question asked by Chien et al. in arXiv:2304.06050 in which they study the numerical range of weighted cyclic matrices under permutation of their entries. Namely, we...
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Affine isoperimetric inequalities for the first eigenvalue of the $m$-th order Affine $p$-Laplace Operator.
arxiv.org
Recently, Haddad, Jiménez, and Montenegro introduced the affine $p$-Laplace operator, $p>1$, and studied associated affine versions of the isoperimetric inequalities for the first eigenvalue of...
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Spectral properties of Toeplitz operators with harmonic function symbols on the Bergman space.
arxiv.org
This paper investigates the spectral properties of Toeplitz operators on the Bergman space of unit disk. We present an integral representation of $T^*_{z^m}$, which establishes a connection...
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Folded optimal transport and its application to separable quantum optimal transport.
arxiv.org
We introduce folded optimal transport, as a way of extending a cost or distance defined on the extreme boundary of a convex to the whole convex, related to convex extension. This construction...
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Continuous symmetry entails the Jordan algebra structure of finite-dimensional quantum theory.
arxiv.org
Symmetry postulates play a crucial role in various approaches to reconstruct quantum theory from a few basic principles. Discrete and continuous symmetries are under consideration. The continuous...
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Anisotropic spaces for the bilateral shift.
arxiv.org
Given two Hölder potentials $ϕ_+$ and $ψ_-$ for the unilateral shift, we define anisotropic Banach spaces of distributions on the bilateral shift space with a finite alphabet. On these...
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Lower-Order Refinements of Greedy Approximation.
arxiv.org
For two countable ordinals $α$ and $β$, a basis of a Banach space $X$ is said to be $(α, β)$-quasi-greedy if it is 1) quasi-greedy, 2) $\mathcal{S}_α$-unconditional but...
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Free dilations of families of $\mathcal{C}_{0}$-semigroups and applications to evolution families.
arxiv.org
Commuting families of contractions or contractive $\mathcal{C}_{0}$-semigroups on Hilbert spaces often fail to admit power dilations resp, simultaneous unitary dilations which are themselves...
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On Some Transformations Associated to a Certain Cone.
arxiv.org
A model elliptic pseudo-differential equation in $4$-faced cone is studied in Sobolev--Slobodetskii space. The Bochner kernel for such a cone is evaluated and explicit formula for unique solution...
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Fields of Toeplitz algebras for the principal symbol of regular 2-step nilpotent groups.
arxiv.org
We show that the C*-algebra of a regular 2-step nilpotent lie group can be recovered using continuous fields of Toeplitz algebras and a crossed product. We generalize this result to polycontact...
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Entropy Stability and Spectral Concentration under Convex Block Constraints.
arxiv.org
We investigate entropy minimization problems for quantum states subject to convex block-diagonal constraints. Our principal result is a quantitative stability theorem: if a state has entropy...
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A note on the strict sigularity of the inclusion between Nakano sequence spaces.
arxiv.org
We characterize the strictly singular inclusions $\ell_{p_n}\hookrightarrow\ell_{q_n}$ between Nakano sequence spaces providing a useful criterion, namely $\varliminf_{n\rightarrow\infty}\vert...
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