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Kernels of bounded operators on the classical transfinite Banach sequence spaces

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed) › peer-review

Forthcoming

Standard

Kernels of bounded operators on the classical transfinite Banach sequence spaces. / Arnott, Max; Laustsen, Niels.
Banach algebras and harmonic analysis. ed. / Mahmoud Filali. de Gruyter, 2025.

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed) › peer-review

Harvard

Arnott, M & Laustsen, N 2025, Kernels of bounded operators on the classical transfinite Banach sequence spaces. in M Filali (ed.), Banach algebras and harmonic analysis. de Gruyter.

APA

Arnott, M., & Laustsen, N. (in press). Kernels of bounded operators on the classical transfinite Banach sequence spaces. In M. Filali (Ed.), Banach algebras and harmonic analysis de Gruyter.

Vancouver

Arnott M, Laustsen N. Kernels of bounded operators on the classical transfinite Banach sequence spaces. In Filali M, editor, Banach algebras and harmonic analysis. de Gruyter. 2025

Author

Arnott, Max ; Laustsen, Niels. / Kernels of bounded operators on the classical transfinite Banach sequence spaces. Banach algebras and harmonic analysis. editor / Mahmoud Filali. de Gruyter, 2025.

Bibtex

@inbook{dbd5020b9f2b4fc0afed09af7949bf81,
title = "Kernels of bounded operators on the classical transfinite Banach sequence spaces",
abstract = "Every closed subspace of each of the Banach spaces X=lp(Γ) and X=c0(Γ), where Γ is a set and 1X→X.On the other hand, whenever Γ is an uncountable set, l1(Γ) contains a closed subspace that is not the kernel of any bounded operator l1(Γ)→l1(Γ).",
keywords = "Non-separable Banach space, Transfinite sequence space, Bounded operator, Kernel",
author = "Max Arnott and Niels Laustsen",
year = "2025",
month = feb,
day = "10",
language = "English",
editor = "Mahmoud Filali",
booktitle = "Banach algebras and harmonic analysis",
publisher = "de Gruyter",
address = "Germany",

}

RIS

TY - CHAP

T1 - Kernels of bounded operators on the classical transfinite Banach sequence spaces

AU - Arnott, Max

AU - Laustsen, Niels

PY - 2025/2/10

Y1 - 2025/2/10

N2 - Every closed subspace of each of the Banach spaces X=lp(Γ) and X=c0(Γ), where Γ is a set and 1X→X.On the other hand, whenever Γ is an uncountable set, l1(Γ) contains a closed subspace that is not the kernel of any bounded operator l1(Γ)→l1(Γ).

AB - Every closed subspace of each of the Banach spaces X=lp(Γ) and X=c0(Γ), where Γ is a set and 1X→X.On the other hand, whenever Γ is an uncountable set, l1(Γ) contains a closed subspace that is not the kernel of any bounded operator l1(Γ)→l1(Γ).

KW - Non-separable Banach space

KW - Transfinite sequence space

KW - Bounded operator

KW - Kernel

M3 - Chapter (peer-reviewed)

BT - Banach algebras and harmonic analysis

A2 - Filali, Mahmoud

PB - de Gruyter

ER -