Let G be a σ-compact infinite locally compact group, and let LIM be the set of left invariant means on L∞(G). We prove in this paper that if G is amenable as a discrete group, then LIM has no exposed ...

Scientists have found what they say is a link between complex number theory and string theory. A mathematician and physicist working together found the connection, which they say is part of plotting ...

This is a preview. Log in through your library . Founded in 1888, to further mathematical research and scholarship, the 30,000-member American Mathematical Society provides programs and services that ...

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title On the invariant subspace problem in Hilbert spaces. The paper is just 13 pages long and its ...

Invariants and elasticity tensors play a pivotal role in the mathematical and physical description of material behaviour. By characterising properties that remain unchanged under coordinate ...

Topological materials – materials whose surface properties are very different to those in their bulk – have come to the fore in recent years and are currently revolutionizing modern condensed matter ...