Tameness in Fréchet spaces of analytic functions

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Tameness in the Fréchet Spaces of Analytic Functions

A Fréchet space, X , with a sequence of generating seminorms {‖·‖k} ∞ k=1 is called tame in case there exists an increasing function σ : N → N, such that for every continuous linear operator T from X into itself, there exists an N0 and C > 0 such that ‖T (x)‖n ≤ C‖x‖σ(n), ∀x ∈ X and n ≥ N0. This property does not depend upon the choice of fundamental system of semi-norms for X and is a property...

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ژورنال

عنوان ژورنال: Studia Mathematica

سال: 2016

ISSN: 0039-3223,1730-6337

DOI: 10.4064/sm8423-3-2016