2003
DOI: 10.1002/mana.200310046
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Bounded factorization property for Fréchet spaces

Abstract: An operator T ∈ L(E, F) factors over G if T = RS for some S ∈ L(E, G) and R ∈ L(G, F); the set of such operators is denoted by LG(E, F). A triple (E, G, F) satisfies bounded factorization property (shortly, (E, G, F) ∈ ℬ︁ℱ) if LG(E, F) ⊂ LB(E, F), where LB(E, F) is the set of all bounded linear operators from E to F. The relationship (E, G, F) ∈ ℬ︁ℱ is characterized in the spirit of Vogt's characterisation of the relationship L(E, F) = LB(E, F) [23]. For triples of K�othe spaces the property ℬ︁ℱ is characteri… Show more

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