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Multilinear operators and weighted l1 norms

✍ Scribed by Richard Arens; Moshe Goldberg

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 349 KB
Volume: 267
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)80039-0

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✦ Synopsis

An m-linear operator 2' on a normed vector space V shall be called multiplicative if N(T(a,, . . . > %>) G NC%) ... W%l) forall ~,,...,a,, EV, N being the given norm. Similarly, we shall say that T is Jordan-multiplicatioe if N c T(u,,~~~, . . . , a,,(,,) i m!N(a,) *.. N(a,), al,. f . , a, c v, (TE s, *Research sponsored in part by the Fund for the Promotion of Research at the Technion, Grant 100-013.

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