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Zbl 1208.46006
Gozali, S.M.; Gunawan, H.; Neswan, O.
On $n$-norms and bounded $n$-linear functionals in a Hilbert space.
(English)
[J] Ann. Funct. Anal. AFA 1, No. 1, 72-79, electronic only (2010). ISSN 2008-8752/e

Summary: We discuss the concept of $n$-normed spaces. In particular, we show the equality of four different formulas of $n$-norms in a Hilbert space. In addition, we study the notion of bounded $n$-linear functionals on an $n$-normed space and present some results on it.
MSC 2000:
*46A70 Saks spaces and their duals

Keywords: $n$-normed space; bounded $n$-linear functional

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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