# Generalized D-Symmetric Operators I

Serdica Mathematical Journal (2008)

- Volume: 34, Issue: 3, page 557-562
- ISSN: 1310-6600

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topBouali, 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 -

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