Left-Right Consistency in Rings II

Left-right consistency in rings III

“…Inclusion (3.1) follows [8] from the familiar inclusion Theorem 3, and its resemblance to Theorem 5 of [7], points up a certain analogy between the consistent spectrum σ CI and the Weyl spectrum ω ess : for example there is inclusion, for a = T ∈ B(X), …”

“…When the semigroup A is a complex linear algebra then associated with the "consistency" or otherwise of a ∈ A and its scalar perturbations a − λ are ( [8] Definition 2) related modifications of the spectrum:…”

“…We remark that, in a change from [8], we are following the notation of Cao/Zhang/ Zhang [1]. The characterization [4] of left-right consistent elements can ([7] Theorem 4) be expressed spectrally:…”