✦ LIBER ✦

Non nuclear integral operators with continuous kernels

✍ Scribed by Leonhard Frerick

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 54 KB
Volume: 254-255
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310058

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✦ Synopsis

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?

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