|
|||||
|
|
q-positive definiteness and related operators |
|
| Authors: | Schôichi Ôta Franciszek Hugon Szafraniec |
| Institution: | a Department of Art and Information Design, Kyushu University, 4-9-1 Shiobaru, Fukuoka 815-8540, Japan b Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, 30059 Kraków, Poland |
| Abstract: | We are in progress of extending the family of ‘q-deformed operators’ considered in the previous papers by joining to them q-subnormal as well as q-formally subnormal ones. It turns out that q-positive definiteness, a notion generalizing Halmos' standard positive definiteness of bounded subnormal operators, is likewise central for our new scheme. |
| Keywords: | q-normal q-formally normal q-subnormal q-formally subnormal q-quasinormal q-positive definiteness Halmos' positive definiteness Schur lemma RKHS technique q-oscillator |
| 本文献已被 ScienceDirect 等数据库收录！ | |