Null Sequences in Coechelon Spaces
Copyright policy )Null Sequences in Coechelon Spaces
AbstractWe prove that for any Köthe matrices a and b if T : λ1(α) → λ0(b) maps bounded sets into relatively compact sets, then T factorizes through a Fréchet Montel space. This is a consequence of a given description of those compact subsets in a coechelon space k∞(v) of type oo which are contained in an absolutely convex hull of a null sequence. An example of a compact set which is not of that form is given.
- University of Trier Germany
Köthe sequence space, Fréchet Montel space, coechelon space, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), factorization, Köthe matrices, Mackey completion, Linear operators defined by compactness properties, maps bounded sets into relatively compact sets, Sequence spaces (including Köthe sequence spaces), Compactness in topological linear spaces; angelic spaces, etc., Montel operator
Köthe sequence space, Fréchet Montel space, coechelon space, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), factorization, Köthe matrices, Mackey completion, Linear operators defined by compactness properties, maps bounded sets into relatively compact sets, Sequence spaces (including Köthe sequence spaces), Compactness in topological linear spaces; angelic spaces, etc., Montel operator
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