In a study published in Reports on Progress in Physics, research teams led by Academician GUO Guangcan and Prof. LIU Biheng from the University of Science and Technology of China (USTC) of the Chinese ...

Let ω be a weight on ℤ, and assume that the translation operator S : (un)n∈ℤ → (un–1)n∈ℤ is bounded on ${\mathrm{\ell}}_{\mathrm{\omega }}^{2}\left(\mathrm{\mathbb{Z}}\right)$, and that the spectrum ...

We study the following question: suppose that A and ℬ are two algebras of complex n × n matrices such that the ring commutator [A, B] = AB – BA is "small" for each A ∈ A and B ∈ ℬ; does this imply ...