Skew generalized von Neumann-Jordan constant for the Banaś-Frączek space

Abstract

For any $\lambda >1,R_{\lambda }^2$ is Banaś-Frączek space, the exact value of the skew generalized von Neumann-Jordan constant $C_{\mathrm{NJ}}^p\left(\xi ,\eta ,R_{\lambda }^2\right)$ is calculated. By careful calculations, $C_{\mathrm{NJ}}^p\left(\xi ,\eta ,R_{\lambda }^2\right)=\frac{(\xi +\eta {)}^p+{\left[(\eta +\xi {)}^2-\frac{4\xi \eta }{{\lambda }^2}\right]}^{p/2}}{2^{p-1}\left({\xi }^p+{\eta }^p\right)}$ is given.

for associated mpeg file, see http://myhost.domain/file.mpg

References in corpus (1)

• Time-evolution of quantum systems via a complex nonlinear Riccati equation. I. Conservative systems with time-independent Hamiltonian