Abstract. Motivated by a result of Ky Fan in 1965, we establish a characterization of a left amenable F-algebra (which includes the group algebra and the Fourier algebra of a locally compact group and ...

Scientists used a new invariant property of vectorial light to encode information. This quantity, which the team call 'vectorness', scales from 0 to 1 and remains unchanged when passing through a ...

A group of mathematicians has shown that at critical moments, a symmetry called rotational invariance is a universal property across many physical systems. For more than 50 years, mathematicians have ...