Abstract
In this paper, we study the von Neumann-Jordan constant of $\pi/2$-rotation invariant norms on $\mathbb{R}^2$. We give some estimations of the constant and have a relationship between the constant and a ratio of two certain functions. These results are an extension of existing results of a unitary version of the von Neumann-Jordan constant.
Acknowledgment
The author wishes to express her gratitude to Professor Kichi-suke Saito for his helpful comments.
Citation
Yukino Tomizawa. "The von Neumann-Jordan constant of $\pi/2$-rotation invariant norms on $\mathbb{R}^2$." Nihonkai Math. J. 28 (2) 125 - 137, 2017.
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