Two classes of \(\tau\)-measurable operators affiliated with a von Neumann algebra
Let \(\mathfrak{M}\) be a von Neumann algebra of operators on a Hilbert space \(\mathfrak{H}\), \(\tau\) be a faithful normal semifinite trace on \(\mathfrak{M}\), and \(\widetilde{\mathfrak{M}}\) be the \(*\)-algebra of all \(\tau\)-measurable operators. The author defines two classes of \(\tau\)-measurable operators and investigates their properties. Furthermore, the author establishes some new inequalities for rearrangements of operators from these classes.
scientific article; zbMATH DE number 6838078