Commutants of nest algebras modulo the compact operators
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Commutants of nest algebras modulo the compact operators. / Christensen, Erik; Peligrad, Costel.
In: Inventiones Mathematicae, Vol. 56, No. 1, 02.1980, p. 113-116.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Commutants of nest algebras modulo the compact operators
AU - Christensen, Erik
AU - Peligrad, Costel
PY - 1980/2
Y1 - 1980/2
N2 - Any operator x which commutes modulo the compact operators with a nest algebra is of the form λI+C, where λ is a scalar and C is a compact operator. Any derivation from a nest algebra on a Hilbert space H into the compact operators on H is implemented by a compact operator. Any derivation on a quasitriangular operator algebra is inner.
AB - Any operator x which commutes modulo the compact operators with a nest algebra is of the form λI+C, where λ is a scalar and C is a compact operator. Any derivation from a nest algebra on a Hilbert space H into the compact operators on H is implemented by a compact operator. Any derivation on a quasitriangular operator algebra is inner.
UR - http://www.scopus.com/inward/record.url?scp=34250253781&partnerID=8YFLogxK
U2 - 10.1007/BF01392546
DO - 10.1007/BF01392546
M3 - Journal article
AN - SCOPUS:34250253781
VL - 56
SP - 113
EP - 116
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
SN - 0020-9910
IS - 1
ER -
ID: 384124726