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- W2014335910 abstract "Let X be a complex Banach space and D a domain in the complex plane. Let f : D → X be an analytic function such that ∥ f (ζ)∥ is constant as ζ ϵ D . If X is the complex plane, then by the classical maximum modulus theorem f ;(ζ) itself is constant on D . This is not the case in general. In the paper we study the norm-constant analytic functions whose values are bounded linear operators over an uniformly convex complex Banach space or, in particular, over a complex Hilbert space." @default.
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- W2014335910 date "1974-04-01" @default.
- W2014335910 modified "2023-10-16" @default.
- W2014335910 title "On operator-valued analytic functions with constant norm" @default.
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- W2014335910 doi "https://doi.org/10.1016/0022-1236(74)90030-5" @default.
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