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Riesz Representation Theorem on Generalized n-Inner Product Spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Astuti, Pudji |
| Copyright Year | 2013 |
| Abstract | In this paper we develop a generalization of Riesz representation theorem on generalized n-inner product spaces. We show that any alternating n-linear functional on a finitely generated standard generalized n-inner product space can be represented by a finite number of n-tuples of vectors. The proof of the theorem utilizes an inner product on a quotient tensor product space induced by the generalized n-inner product. Mathematics Subject Classification: 47A07, 46C05, 15A69 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.m-hikari.com/ijma/ijma-2013/ijma-17-20-2013/astutiIJMA17-20-2013.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
