Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2608

 Title: Generalized D-Symmetric Operators I Authors: Bouali, S.Ech-chad, M. Keywords: Generalized DerivationSelf-Adjoint Derivation RangesD-Symmetric Operators Issue Date: 2008 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 34, No 3, (2008), 557p-562p Abstract: 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. Description: 2000 Mathematics Subject Classification: Primary: 47B47, 47B10; secondary 47A30. URI: http://hdl.handle.net/10525/2608 ISSN: 1310-6600 Appears in Collections: Volume 34, Number 3

Files in This Item:

File Description SizeFormat