# A note on the range of generalized derivation.

Extracta Mathematicae (2006)

- Volume: 21, Issue: 2, page 149-157
- ISSN: 0213-8743

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topAmouch, 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 -