The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

In the first part we show that the decomposition of a bounded selfadjoint linear map from a $C^\ast$-algebra into a given von Neumann algebra as a difference of two ...

IMAGINE discovering an ancient treasure chest sealed with a complex dual-lock mechanism, requiring two keys that must work ...