Title of article :
q-positive definiteness and related operators
Author/Authors :
Schôichi Ota، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
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.
© 2006 Elsevier Inc. All rights reserved
Keywords :
q-normal , q-formally normal , q-subnormal , q-formally subnormal , q-quasinormal , Halmos’ positive definiteness , q-positive definiteness , Schur lemma , RKHS technique , q-oscillator
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications