Let 𝒜 be a Banach algebra. An element a ∈ 𝒜 has the generalized Zhou inverse if there exists b ∈ 𝒜 such that b = bab, ab = ba, aⁿ − ab ∈ J#(𝒜), f or some n ∈ ℕ. We find some new conditions under ...

In this graph, 𝑥 and 𝑦 are directly proportional. This means that when 𝑥 doubles, 𝑦 also doubles, and when 𝑥 triples, so does 𝑦. In fact, for all coordinates on this line, you could multiply or ...