On two variable Jordan block. II (Q860212)

A closed subspace \(M\) of the Hardy space \(H^2\) of the bidisk is called a submodule if it is closed under the multiplication operators \(T_{z_1}\) and \(T_{z_2}\). The compression of the pair \((T_{z_1},T_{z_2})\) to \(H^2\ominus M\) is called a two-variable Jordan block and is denoted by \((S_1,S_2)\). This paper studies the essential Taylor spectrum and certain defect operators for the two-variable Jordan block \((S_1,S_2)\). [Part I appeared in Acta Sci.\ Math.\ 69, No.\,3--4, 739--754 (2003; Zbl 1052.47004).]