2-normed Algebras-I

Neeraj Srivastava; S. Bhattacharya; S. N. Lal

Displaying similar documents to “2-normed Algebras-I”

On $n$ -normed spaces.

Gunawan, Hendra, Mashadi, M. (2001)

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Compact operators defined on 2-normed and 2-probabilistic normed spaces.

Lael, Fatemeh, Nourouzi, Kourosh (2009)

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Random $n$ -normed linear space.

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Another approach to characterizations of generalized triangle inequalities in normed spaces

Tamotsu Izumida, Ken-Ichi Mitani, Kichi-Suke Saito (2014)

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In this paper, we consider a generalized triangle inequality of the following type: ${∥x_{1} + \dots + x_{n}∥}^{p} ⩽ \frac{{∥x_{1}∥}^{p}}{μ_{1}} + \dots + \frac{{∥x_{2}∥}^{p}}{μ_{n}} (f o r a l l x_{1}, ..., x_{n} \in X),$ where (X, ‖·‖) is a normed space, (µ1, ..., µn) ∈ ℝn and p > 0. By using ψ-direct sums of Banach spaces, we present another approach to characterizations of the above inequality which is given by [Dadipour F., Moslehian M.S., Rassias J.M., Takahasi S.-E., Nonlinear Anal., 2012, 75(2), 735–741].