On interpolation of noncommutative symmetric Hardy spaces

Abstract

We proved the noncommutative analogue of Calderon’s result for fully symmetric spaces \(E_1\) and \(E_2\) on (0, 1) and for a finite von Neumann algebra \({{\mathcal {M}}}\). We also proved the noncommutative symmetric Hardy space’s analogue of Calderon’s result for fully symmetric spaces and for finite subdiagonal subalgebras.