Functional Analysis

Authors and titles for math.FA in Feb 2023

[1]  arXiv:2302.00218 [pdf, ps, other]

Title: The projection constant for the trace class

Authors: Andreas Defant, Daniel Galicer, Martín Mansilla, Mieczysław Mastyło, Santiago Muro

Comments: arXiv admin note: substantial text overlap with arXiv:2208.06467

Subjects: Functional Analysis (math.FA); Metric Geometry (math.MG)

[2]  arXiv:2302.00231 [pdf, ps, other]

Title: Projection constants for spaces of Dirichlet polynomials

Authors: Andreas Defant, Daniel Galicer, Martín Mansilla, Mieczysław Mastyło, Santiago Muro

Comments: arXiv admin note: substantial text overlap with arXiv:2208.06467

Subjects: Functional Analysis (math.FA); Number Theory (math.NT)

[3]  arXiv:2302.00233 [pdf, ps, other]

Title: Asymptotic estimates of projection and Sidon constants for spaces of functions on the Boolean cube

Authors: Andreas Defant, Daniel Galicer, Martín Mansilla, Mieczysław Mastyło, Santiago Muro

Comments: arXiv admin note: substantial text overlap with arXiv:2208.06467

Subjects: Functional Analysis (math.FA); Metric Geometry (math.MG)

[4]  arXiv:2302.00409 [pdf, ps, other]

Title: Quasicentral modulus and self-similar sets: a supplementary result to Voiculescu's work

Authors: Kozo Ikeda, Masaki Izumi

Comments: Condition (A1) is relaxed, and Remark 1 and the proof of Lemma 3.4 are changed. Minor corrections.To appear in Integral Equations and Operator Theory

Subjects: Functional Analysis (math.FA); Operator Algebras (math.OA)

[5]  arXiv:2302.00542 [pdf, ps, other]

Title: $h^1$ boundedness of Localized Operators and Commutators with bmo and lmo

Authors: Galia Dafni, Chun Ho Lau

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[6]  arXiv:2302.00550 [pdf, ps, other]

Title: A note on the generalized maximal numerical range of operators

Authors: Abderrahim Baghdad, El Hassan Benabdi, Kais Feki

Comments: 13 pages

Subjects: Functional Analysis (math.FA)

[7]  arXiv:2302.00664 [pdf, ps, other]

Title: On the Auerbach bases of $l^{n}_p$ spaces

Authors: Arun Maiti, Debmalya Sain

Comments: 10

Subjects: Functional Analysis (math.FA); Differential Geometry (math.DG)

[8]  arXiv:2302.00790 [pdf, ps, other]

Title: A note on commutators of singular integrals with ${\rm BMO}$ and ${\rm VMO}$ functions in the Dunkl setting

Authors: Jacek Dziubański, Agnieszka Hejna

Comments: 15 pages. arXiv admin note: text overlap with arXiv:2211.02518

Subjects: Functional Analysis (math.FA)

[9]  arXiv:2302.00811 [pdf, ps, other]

Title: Boundedness of composition operators on higher order Besov spaces in one dimension

Authors: Masahiro Ikeda, Isao Ishikawa, Koichi Taniguchi

Subjects: Functional Analysis (math.FA)

[10]  arXiv:2302.00896 [pdf, ps, other]

Title: Conditions implying the normality of $\ast$-paranormal operators in the closure of $\mathcal{AN}$-operators

Authors: G. Ramesh, Shanola S. Sequeira

Comments: Comments and suggestions are welcome by email

Subjects: Functional Analysis (math.FA)

[11]  arXiv:2302.00931 [pdf, ps, other]

Title: Linear preservers on idempotents of Fourier algebras

Authors: Ying-Fen Lin, Shiho Oi

Comments: 16pages

Subjects: Functional Analysis (math.FA)

[12]  arXiv:2302.00969 [pdf, ps, other]

Title: Strong completeness of a class of L2-type Riesz spaces

Authors: Anke Kalauch, Wenchi Kuo, Bruce Watson

Comments: arXiv admin note: text overlap with arXiv:2209.00715

Subjects: Functional Analysis (math.FA); Probability (math.PR)

[13]  arXiv:2302.01084 [pdf, ps, other]

Title: Inequality on the optimal constant of Young's convolution inequality for locally compact groups and their closed subgroups

Authors: Takashi Satomi

Comments: 20 pages

Subjects: Functional Analysis (math.FA); Algebraic Topology (math.AT); General Topology (math.GN); Group Theory (math.GR); Rings and Algebras (math.RA)

[14]  arXiv:2302.01195 [pdf, ps, other]

Title: Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems

Authors: Bálint Farkas, Birgit Jacob, Timo Reis, Merlin Schmitz

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Optimization and Control (math.OC)

[15]  arXiv:2302.01202 [pdf, ps, other]

Title: Linear independence of coherent systems associated to lattices

Authors: Ulrik Enstad, Jordy Timo van Velthoven

Comments: 12 pages

Subjects: Functional Analysis (math.FA)

[16]  arXiv:2302.01213 [pdf, other]

Title: A New Excluding Condition towards the Soprunov-Zvavitch conjecture on Bezout-type inequalities

Authors: Maud Szusterman

Comments: 13 pages, 1 picture

Subjects: Functional Analysis (math.FA); Metric Geometry (math.MG)

[17]  arXiv:2302.01460 [pdf, ps, other]

Title: Algebras of Polynomials Generated by Linear Operators

Authors: F. Zaj, M. Abtahi

Journal-ref: Carpathian Mathematical Publications (2023)

Subjects: Functional Analysis (math.FA)

[18]  arXiv:2302.01573 [pdf, ps, other]

Title: $p$-Hyperbolic Zolotarev Functions in Boundary Value Problems for a $p\,$th order Differential Operator

Authors: M.F. Bessmertnyĭ, V.A. Zolotarev

Subjects: Functional Analysis (math.FA)

[19]  arXiv:2302.02684 [pdf, ps, other]

Title: Poincar{é} inequalities and integrated curvature-dimension criterion for generalised Cauchy and convex measures

Authors: Baptiste Nicolas Huguet (ENS Rennes, IRMAR)

Subjects: Functional Analysis (math.FA); Probability (math.PR)

[20]  arXiv:2302.03000 [pdf, ps, other]

Title: A Note on the Chebyshev Set Problem in Normed Linear Spaces

Authors: Samson Owiti, Benard Okelo, Julia Owino

Comments: 7 pages

Subjects: Functional Analysis (math.FA)

[21]  arXiv:2302.03577 [pdf, ps, other]

Title: Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform

Authors: Giovanni S. Alberti, Alessandro Felisi, Matteo Santacesaria, S. Ivan Trapasso

Comments: 57 pages

Subjects: Functional Analysis (math.FA); Information Theory (cs.IT); Optimization and Control (math.OC)

[22]  arXiv:2302.03718 [pdf, ps, other]

Title: Absolutely Summing Morphisms between Hilbert C*-Modules and Modular Pietsch Factorization Problem

Authors: K. Mahesh Krishna

Comments: 10 Pages, 0 Figures

Subjects: Functional Analysis (math.FA); Operator Algebras (math.OA)

[23]  arXiv:2302.04293 [pdf, ps, other]

Title: Matrix monotonicity and concavity of the principal pivot transform

Authors: Kenneth Beard, Aaron Welters

Comments: 28 pages, typos corrected

Subjects: Functional Analysis (math.FA)

[24]  arXiv:2302.04323 [src]

Title: $\ell_1$ spreading models and FPP in Banach spaces with monotone Schauder basis

Authors: Cleon S. Barroso

Comments: The first statement on page 9 is not necessarily true. Roughly speaking, the problem is that the indices "i_s" and "r" are competing with each other and therefore what I believed to be immediate, as happens naturally in the case of a single index, and as can be seen in the proof of Theorem 6.7 of the FHHMZ reference, is in fact not immediate in the situation where double indices are involved

Subjects: Functional Analysis (math.FA)

[25]  arXiv:2302.04347 [pdf, ps, other]

Title: Inequalities for sections and projections of convex bodies

Authors: Apostolos Giannopoulos, Alexander Koldobsky, Artem Zvavitch

Subjects: Functional Analysis (math.FA); Metric Geometry (math.MG)