Analytic functions, defined by the property of being locally expressible as convergent power series, form a cornerstone of complex analysis. Differential operators, which act on these functions by ...
Taiwanese Journal of Mathematics, Vol. 24, No. 2 (April 2020), pp. 355-376 (22 pages) Let H(𝔻) denote the space of holomorphic functions on the unit disk 𝔻 of ℂ, ψ, φ ∈ H(𝔻), φ(𝔻) ⊂ 𝔻 and n ∈ ℕ ∪ ...
We prove the following statements about bounded linear operators on a separable, complex Hilbert space: (1) Every normal operator $N$ that is similar to a Hilbert ...
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