Home > Research > Publications & Outputs > Erratum

Associated organisational unit

Links

Text available via DOI:

View graph of relations

Erratum: "The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces" (Journal of Functional Analysis (2004) vol. 214 (106-131) 10.1016.j.jfa.2004.02.009)

Research output: Contribution to Journal/MagazineComment/debatepeer-review

Published

Standard

Erratum: "The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces" (Journal of Functional Analysis (2004) vol. 214 (106-131) 10.1016.j.jfa.2004.02.009). / Laustsen, Niels Jakob; Loy, Richard J.; Read, Charles J.
In: Journal of Functional Analysis, Vol. 220, No. 1, 01.03.2005, p. 240-241.

Research output: Contribution to Journal/MagazineComment/debatepeer-review

Harvard

APA

Vancouver

Author

Bibtex

@article{90e0c5f8b144481c9c5e46eaec9df6f9,
title = "Erratum: {"}The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces{"} (Journal of Functional Analysis (2004) vol. 214 (106-131) 10.1016.j.jfa.2004.02.009)",
abstract = "Very few Banach spaces E are known for which the lattice of closed ideals in the Banach algebra B{\dh}E{\TH} of all (bounded, linear) operators on E is fully understood. Indeed, upto now the only such Banach spaces are, up to isomorphism, Hilbert spaces and the sequence spaces c0 and cp for 1ppoN: We add a new member to this family by showing that there are exactly four closed ideals in B{\dh}E{\TH} for the Banach space E :¼ {\dh}{"}cn2 {\TH}c0 ; that is, E is the c0-direct sum of the finite-dimensional Hilbert spaces c1 2; c2 2;y; cn2 ;y . r ",
author = "Laustsen, {Niels Jakob} and Loy, {Richard J.} and Read, {Charles J.}",
year = "2005",
month = mar,
day = "1",
doi = "10.1016/j.jfa.2004.10.011",
language = "English",
volume = "220",
pages = "240--241",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "1",

}

RIS

TY - JOUR

T1 - Erratum

T2 - "The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces" (Journal of Functional Analysis (2004) vol. 214 (106-131) 10.1016.j.jfa.2004.02.009)

AU - Laustsen, Niels Jakob

AU - Loy, Richard J.

AU - Read, Charles J.

PY - 2005/3/1

Y1 - 2005/3/1

N2 - Very few Banach spaces E are known for which the lattice of closed ideals in the Banach algebra BðEÞ of all (bounded, linear) operators on E is fully understood. Indeed, upto now the only such Banach spaces are, up to isomorphism, Hilbert spaces and the sequence spaces c0 and cp for 1ppoN: We add a new member to this family by showing that there are exactly four closed ideals in BðEÞ for the Banach space E :¼ ð"cn2 Þc0 ; that is, E is the c0-direct sum of the finite-dimensional Hilbert spaces c1 2; c2 2;y; cn2 ;y . r 

AB - Very few Banach spaces E are known for which the lattice of closed ideals in the Banach algebra BðEÞ of all (bounded, linear) operators on E is fully understood. Indeed, upto now the only such Banach spaces are, up to isomorphism, Hilbert spaces and the sequence spaces c0 and cp for 1ppoN: We add a new member to this family by showing that there are exactly four closed ideals in BðEÞ for the Banach space E :¼ ð"cn2 Þc0 ; that is, E is the c0-direct sum of the finite-dimensional Hilbert spaces c1 2; c2 2;y; cn2 ;y . r 

U2 - 10.1016/j.jfa.2004.10.011

DO - 10.1016/j.jfa.2004.10.011

M3 - Comment/debate

AN - SCOPUS:12444330450

VL - 220

SP - 240

EP - 241

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 1

ER -