Maximal Contractive Tuples

作者：Das B Krishna; Sarkar Jaydeb; Sarkar Santanu^*

来源：Complex Analysis and Operator Theory, 2014, 8(6): 1325-1339.

DOI：10.1007/s11785-013-0332-4

• Contractive tuples
• Defect operators
• Defect spaces
• Drury-Arveson module
• Fock space

Maximality of a contractive tuple of operators is considered. A characterization for a contractive tuple to be maximal is obtained. The notion of maximality for a submodule of the Drury-Arveson module on the -dimensional unit ball is defined. For , it is shown that every submodule of the Hardy module over the unit disc is maximal. But for we prove that any homogeneous submodule or submodule generated by polynomials is not maximal. A characterization of maximal submodules is obtained.

• 出版日期2014-8