Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
A semi-isometric isomorphism on a ring of matrices
Authors: Svetlana Aleschenko
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Abstract
Let $(R,\xi)$ be a pseudonormed ring and $R_{n}$ be a ring of matrices over the ring $R$. We prove that if $1\leq\gamma, \sigma\leq\infty$ and $\frac{1}{\gamma} + \frac{1}{\sigma} \geq 1$, then the function $\eta_{\xi ,\gamma ,\sigma }$ is a pseudonorm on the ring $R_{n}$. Let now $\varphi:(R,\xi)\rightarrow(\bar{R},\overline{\xi})$ be a semi-isometric isomorphism of pseudonormed rings. We prove that $\Phi:(R_{n},\eta_{\xi,\gamma ,\sigma })\rightarrow(\bar{R}_{n},\eta_{\bar{\xi}, \gamma ,\sigma })$ is a semi-isometric isomorphism too for all $1\leq\gamma, \sigma\leq\infty$ such that $\frac{1}{\gamma} + \frac{1}{\sigma} \geq 1$.Tiraspol State University
str. Iablochkin 5, Chisinau MD-2069
Moldova
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str. Iablochkin 5, Chisinau MD-2069
Moldova
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Fulltext
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Contents
- On a class of weighted composition operators on Fock space
- Invariant Characteristics of Special Compositions in Weyl Spaces WN
- Interpolating Bézier spline curves with local control
- Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
- On π-quasigroups of type T1
- Irreducible triangulations of the Möbius band
- On 2-primal Ore extensions over Noetherian Weak σ-rigid rings
- Max-Erlang and Min-Erlang power series distributions as two new families of lifetime distribution
- A semi-isometric isomorphism on a ring of matrices
- Compact Global Attractors of Non-Autonomous Gradient-Like Dynamical Systems
- One new class of cubic systems with maximum number of invariant lines omitted in the classification of J. Llibre and N. Vulpe
