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Characterization of the quotient spaces of $$(s)$$ in the tame category. (English) Zbl 0778.46012
There is given a complete characterization of the quotient spaces of $$s$$, the space of rapidly decreasing sequences, in the tame category of graded Fréchet spaces. Besides, the proof yields an internal description of the tame direct summands of $$s$$, another proof of which, based on interpolation theory is contained in D. Vogt [Trans. Am. Math. Soc. 319, No. 1, 191-208 (1990; Zbl 0724.46007)]. The present paper continues [Arch. Math. 54, No. 3, 274-283 (1990; Zbl 0663.46003)], in which the subspaces of $$s$$ is the tame category are characterized.

##### MSC:
 46A45 Sequence spaces (including Köthe sequence spaces) 46A04 Locally convex Fréchet spaces and (DF)-spaces 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
##### Citations:
Zbl 0724.46007; Zbl 0663.46003
Full Text:
##### References:
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