Automatic continuity of operators commuting with translations
J. Alaminos, J. Extremera, A. R. Villena (2006)
Studia Mathematica
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Let and be representations of a topological group G on Banach spaces X and Y, respectively. We investigate the continuity of the linear operators Φ: X → Y with the property that for each t ∈ G in terms of the invariant vectors in Y and the automatic continuity of the invariant linear functionals on X.