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The closed ideal of (co,p,q)-summing operators

✍ Scribed by Aicke Hinrichs; Albrecht Pietsch

Publisher: SP Birkhäuser Verlag Basel
Year: 2000
Tongue: English
Weight: 593 KB
Volume: 38
Category: Article
ISSN: 0378-620X
DOI: 10.1007/bf01291716

No coin nor oath required. For personal study only.

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It is shown that the operator p2 \_ q2 has a continuous spectrum extending from --00 to + oo. The expansion of an arbitrary function with respect to the eigenfunctions is given. The action of the operators q and p on the eigenfunctions can be written explicitly by means of symbolic formulae. Finally