A note on the range of generalized derivation.

Amouch, Mohamed. "A note on the range of generalized derivation.." Extracta Mathematicae 21.2 (2006): 149-157. <http://eudml.org/doc/41855>.

@article{Amouch2006,
abstract = {Let L(H) denote the algebra of bounded linear operators on a complex separable and infinite dimensional Hilbert space H. For A, B ∈ L(H), the generalized derivation δA,B associated with (A, B), is defined by δA,B(X) = AX - XB for X ∈ L(H). In this note we give some sufficient conditions for A and B under which the intersection between the closure of the range of δA,B respect to the given topology and the kernel of δA*,B* vanishes.},
author = {Amouch, Mohamed},
journal = {Extracta Mathematicae},
keywords = {Operadores lineales; Derivación; Teoría de operadores; generalised derivation; range; kernel},
language = {eng},
number = {2},
pages = {149-157},
title = {A note on the range of generalized derivation.},
url = {http://eudml.org/doc/41855},
volume = {21},
year = {2006},
}

TY - JOUR
AU - Amouch, Mohamed
TI - A note on the range of generalized derivation.
JO - Extracta Mathematicae
PY - 2006
VL - 21
IS - 2
SP - 149
EP - 157
AB - Let L(H) denote the algebra of bounded linear operators on a complex separable and infinite dimensional Hilbert space H. For A, B ∈ L(H), the generalized derivation δA,B associated with (A, B), is defined by δA,B(X) = AX - XB for X ∈ L(H). In this note we give some sufficient conditions for A and B under which the intersection between the closure of the range of δA,B respect to the given topology and the kernel of δA*,B* vanishes.
LA - eng
KW - Operadores lineales; Derivación; Teoría de operadores; generalised derivation; range; kernel
UR - http://eudml.org/doc/41855
ER -