On \(n\)-norms and bounded \(n\)-linear functionals in a Hilbert space. (English) Zbl 1208.46006
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:
| 46A70 | Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) |
