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Composition and nuclearity of kernel operators

✍ Scribed by A. R. Schep

Publisher
SP Birkhäuser Verlag Basel
Year
1988
Tongue
English
Weight
669 KB
Volume
11
Category
Article
ISSN
0378-620X

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## Abstract In this note we give a positive answer to the following question posed by A. Pietsch: Is there for all __p, q__ ∈ (1, ∞) a continuous kernel __K__ such that the associated integral operator __T~K~__ : __L~q~__([0, 1]) → __L~p~__([0, 1]) fails to be nuclear?