Gunawan, Hendra On convergence in \(n\)-inner product spaces. (English) Zbl 1185.15022 Bull. Malays. Math. Sci. Soc. (2) 25, No. 1, 11-16 (2002). Summary: We discuss the notions of strong convergence and weak convergence in \(n\)-inner product spaces and study the relation between them. In particular, we show that the strong convergence implies the weak convergence and disprove the converse through a counter-example, by invoking an analogue of Parseval’s identity in \(n\)-inner product spaces. MSC: 15A63 Quadratic and bilinear forms, inner products 46C99 Inner product spaces and their generalizations, Hilbert spaces PDFBibTeX XMLCite \textit{H. Gunawan}, Bull. Malays. Math. Sci. Soc. (2) 25, No. 1, 11--16 (2002; Zbl 1185.15022) Full Text: EuDML EMIS