Complex C1C2 symmetric and finite rank operators

Dakheel, Shireen O.; Ahmed, Buthainah A.

doi:10.47974/JIM-1482

Open Access Research Article

Complex C1C2 symmetric and finite rank operators

^*Shireen O. DakheelCorresponding authorShireeno_math@csw.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BaghdadBaghdad, IraqView full profile → , Buthainah A. AhmedButhaina.a.sc@uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BaghdadBaghdad, IraqView full profile →

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pp. 637–641Vol. 26Issue 4June 2023DOI: 10.47974/JIM-1482XML

Received:: 01 Mar 2022
Accepted:: 01 Apr 2022
Published Online:: 15 Jul 2023
Article type:: Research Article
Language:: EN
Article no.:: jdmsc-1482
Pages:: 637–641

Abstract

An operator A in B(H) is called complex C1C2-symmetric if E two antilinear, isometric and involution C1, C2 such that C1A = A* C2 (A=C1A*C2). In this paper, we shows that when the rank one operator become C1C2-symmetirc operators. Moreover, we show that the compact operator is C1C2 -symmetric operator. Also, we award some examples of C1C2-symmetric operators.

Keywords

Separable Complex Hilbert Space Conjugation operators C-symmetric operators C1C2-symmetric operators Rank one operator

Subject Classifications

Primary 93A30Secondary 49K15

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