Home > Research > Publications & Outputs > Constructing non-AMNM weighted convolution alge...

Links

Text available via DOI:

View graph of relations

Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth. / Choi, Yemon; Ghandehari, Mahya; Pham, Hung Le.
In: Journal of Functional Analysis, Vol. 288, No. 3, 110735, 01.02.2025.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Choi, Y, Ghandehari, M & Pham, HL 2025, 'Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth', Journal of Functional Analysis, vol. 288, no. 3, 110735. https://doi.org/10.1016/j.jfa.2024.110735

APA

Choi, Y., Ghandehari, M., & Pham, H. L. (2025). Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth. Journal of Functional Analysis, 288(3), Article 110735. https://doi.org/10.1016/j.jfa.2024.110735

Vancouver

Choi Y, Ghandehari M, Pham HL. Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth. Journal of Functional Analysis. 2025 Feb 1;288(3):110735. Epub 2024 Nov 6. doi: 10.1016/j.jfa.2024.110735

Author

Choi, Yemon ; Ghandehari, Mahya ; Pham, Hung Le. / Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth. In: Journal of Functional Analysis. 2025 ; Vol. 288, No. 3.

Bibtex

@article{518c8367755c423189823e3f4e2711fe,
title = "Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth",
abstract = "The AMNM property for commutative Banach algebras is a form of Ulam stability for multiplicative linear functionals. We show that on any semilattice of infinite breadth, one may construct a weight for which the resulting weighted convolution algebra fails to have the AMNM property. Our work is the culmination of a trilogy started in [Semigroup Forum 102 (2021), no. 1, 86-103] and continued in [European J. Combin. 94 (2021), article 103311]. In particular, we obtain a refinement of the main result of the second paper, by establishing a dichotomy for union-closed set systems that has a Ramsey-theoretic flavour.",
keywords = "approximately multiplicative, Semilattice, set system, Ulam stability",
author = "Yemon Choi and Mahya Ghandehari and Pham, {Hung Le}",
year = "2025",
month = feb,
day = "1",
doi = "10.1016/j.jfa.2024.110735",
language = "English",
volume = "288",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "3",

}

RIS

TY - JOUR

T1 - Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth

AU - Choi, Yemon

AU - Ghandehari, Mahya

AU - Pham, Hung Le

PY - 2025/2/1

Y1 - 2025/2/1

N2 - The AMNM property for commutative Banach algebras is a form of Ulam stability for multiplicative linear functionals. We show that on any semilattice of infinite breadth, one may construct a weight for which the resulting weighted convolution algebra fails to have the AMNM property. Our work is the culmination of a trilogy started in [Semigroup Forum 102 (2021), no. 1, 86-103] and continued in [European J. Combin. 94 (2021), article 103311]. In particular, we obtain a refinement of the main result of the second paper, by establishing a dichotomy for union-closed set systems that has a Ramsey-theoretic flavour.

AB - The AMNM property for commutative Banach algebras is a form of Ulam stability for multiplicative linear functionals. We show that on any semilattice of infinite breadth, one may construct a weight for which the resulting weighted convolution algebra fails to have the AMNM property. Our work is the culmination of a trilogy started in [Semigroup Forum 102 (2021), no. 1, 86-103] and continued in [European J. Combin. 94 (2021), article 103311]. In particular, we obtain a refinement of the main result of the second paper, by establishing a dichotomy for union-closed set systems that has a Ramsey-theoretic flavour.

KW - approximately multiplicative

KW - Semilattice

KW - set system

KW - Ulam stability

U2 - 10.1016/j.jfa.2024.110735

DO - 10.1016/j.jfa.2024.110735

M3 - Journal article

VL - 288

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 3

M1 - 110735

ER -