TY  - JOUR
TI  - $q$-Difference Operator on $L_q^{2}( 0, + infty )$
AB  - In this research, the minimal and maximal operators defined by $q$- difference expression are given in the Hilbert space $L_q^{2}( 0, + infty )$. The existence problem of a $q^{-1}$-normal extension for the minimal operator is mentioned. In addition, the sets of the minimal operator spectrum and the maximal operator spectrum are examined.
AU  - Sertbaş, Meltem
AU  - SARAL, Coşkun
DO  - 10.31801/cfsuasmas.1121701
PY  - 2023
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 72
IS  - 1
SN  - 1303-5991
SP  - 247
EP  - 258
DB  - TRDizin
UR  - http://search/yayin/detay/1161031
ER  -