Geodesic
Notes on $q$-deformed operators
Schôichi Ôta1 ; Franciszek Hugon Szafraniec2
1Department of Art and Information Design Kyushu University 4-9-1 Shiobaru Fukuoka, 815-8540 Japan
2Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Studia Mathematica, Tome 165 (2004) no. 3, pp. 295-301
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The paper concerns operators of deformed structure like $q$-normal and $q$-hyponormal operators with the deformation parameter $q$ being a positive number different from $1$. In particular, an example of a $q$-hyponormal operator with empty spectrum is given, and $q$-hyponormality is characterized in terms of some operator inequalities.
DOI : 10.4064/sm165-3-7
Keywords: paper concerns operators deformed structure q normal q hyponormal operators deformation parameter being positive number different particular example q hyponormal operator empty spectrum given q hyponormality characterized terms operator inequalities

Schôichi Ôta  1   ; Franciszek Hugon Szafraniec  2

1 Department of Art and Information Design Kyushu University 4-9-1 Shiobaru Fukuoka, 815-8540 Japan
2 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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Schôichi Ôta; Franciszek Hugon Szafraniec. Notes on $q$-deformed operators. Studia Mathematica, Tome 165 (2004) no. 3, pp. 295-301. doi: 10.4064/sm165-3-7

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