Product of operators and ∂-Spectrum preservers
Results in Nonlinear Analysis · 2024
Consider an infinite-dimentional Banach space denoted as X , and designate ( ) X as the algebra of all bounded linear operators on X .Moreover, let σ ( )A denote the spectrum of A X , and w( ( ))In this paper, we characterize all surjective maps φ 1 and φ 2 on ( ) X satisfying ' ' ( ( ) ( )) = ( ) 1 2 I I A B AB for all A B X , ( ) ∈ .