Das, Krishna B and Sarkar, Jaydeb and Sarkar, Santanu (2014) Maximal Contractive Tuples. In: COMPLEX ANALYSIS AND OPERATOR THEORY, 8 (6). pp. 1325-1339.
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Official URL: http://dx.doi.org/ 10.1007/s11785-013-0332-4
Abstract
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.
| Item Type: | Journal Article |
|---|---|
| Publication: | COMPLEX ANALYSIS AND OPERATOR THEORY |
| Publisher: | SPRINGER BASEL AG |
| Additional Information: | Copy right for this article belongs to the SPRINGER BASEL AG, PICASSOPLATZ 4, BASEL, 4052, SWITZERLAND |
| Keywords: | Contractive tuples; Defect operators; Defect spaces; Drury-Arveson module; Fock space |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 04 Sep 2014 11:03 |
| Last Modified: | 04 Sep 2014 11:03 |
| URI: | http://eprints.iisc.ac.in/id/eprint/49758 |
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