Open AccessOn The Range of Generalized Jordan *-derivation
Author(s) -
Amina R. Muhammad,
Buthainah A. A. Ahmed
Publication year - 2021
Publication title -
magallaẗ kulliyyaẗ al-rāfidayn al-ǧāmi'aẗ al-'ulūm/maǧallaẗ kulliyyaẗ al-rāfidayn al-ǧāmiʻaẗ li-l-ʻulūm
Language(s) - English
Resource type - Journals
eISSN - 2790-2293
pISSN - 1681-6870
DOI - 10.55562/jrucs.v30i2.370
Subject(s) - mathematics , separable space , hilbert space , bounded function , range (aeronautics) , space (punctuation) , linear operators , pure mathematics , combinatorics , algebra over a field , mathematical analysis , computer science , materials science , composite material , operating system
Let H be an infinite dimensional separable complex Hilbert space and let B(H) be the algebra of bounded liners operators in H.Let A,BB(H), the generalized Jordan *-derivations JA,B :B(H) B(H) is defined by:JA,B(X) =XA BX*,XB(H)In this paper we study some properties of the range of generalized Jordan *-derivations, which is represented by RA,B, and defined by: RA,B={XABX*: XB(H)}.