Generalized D-Symmetric Operators I

Bouali, S., and Ech-chad, M.. "Generalized D-Symmetric Operators I." Serdica Mathematical Journal 34.3 (2008): 557-562. <http://eudml.org/doc/281470>.

@article{Bouali2008,
abstract = {2000 Mathematics Subject Classification: Primary: 47B47, 47B10; secondary 47A30.Let H be an infinite-dimensional complex Hilbert space and let A, B ∈ L(H), where L(H) is the algebra of operators on H into itself. Let δAB: L(H) → L(H) denote the generalized derivation δAB(X) = AX − XB. This note will initiate a study on the class of pairs (A,B) such that [‾(R(δAB))] = [‾(R(δB*A*))]; i.e. [‾(R(δAB))] is self-adjoint.},
author = {Bouali, S., Ech-chad, M.},
journal = {Serdica Mathematical Journal},
keywords = {Generalized Derivation; Self-Adjoint Derivation Ranges; D-Symmetric Operators; generalised derivation; selfadjoint derivation ranges; D-symmetric operators},
language = {eng},
number = {3},
pages = {557-562},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Generalized D-Symmetric Operators I},
url = {http://eudml.org/doc/281470},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Bouali, S.
AU - Ech-chad, M.
TI - Generalized D-Symmetric Operators I
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 3
SP - 557
EP - 562
AB - 2000 Mathematics Subject Classification: Primary: 47B47, 47B10; secondary 47A30.Let H be an infinite-dimensional complex Hilbert space and let A, B ∈ L(H), where L(H) is the algebra of operators on H into itself. Let δAB: L(H) → L(H) denote the generalized derivation δAB(X) = AX − XB. This note will initiate a study on the class of pairs (A,B) such that [‾(R(δAB))] = [‾(R(δB*A*))]; i.e. [‾(R(δAB))] is self-adjoint.
LA - eng
KW - Generalized Derivation; Self-Adjoint Derivation Ranges; D-Symmetric Operators; generalised derivation; selfadjoint derivation ranges; D-symmetric operators
UR - http://eudml.org/doc/281470
ER -