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 2004 Elsevier Inc. All rights reserved.
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 2004 Elsevier Inc. All rights reserved.
UR - http://www.scopus.com/inward/record.url?scp=12444330450&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2004.10.011
DO - 10.1016/j.jfa.2004.10.011
M3 - Comment/debate
SN - 0022-1236
VL - 220
SP - 240
EP - 241
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -