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Backward extensions of hyperexpansive operators

100%
Jabłoński Z., Jung I., Stochel J.
Studia Mathematica
|
2006
|
tom 173
|
nr 3
233-257
EN
The concept of k-step full backward extension for subnormal operators is adapted to the context of completely hyperexpansive operators. The question of existence of k-step full backward extension is solved within this class of operators with the help of an operator version of the Levy-Khinchin formula. Some new phenomena in comparison with subnormal operators are found and related classes of operators are discussed as well.
2
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Operators with absolute continuity properties: an application to quasinormality

100%
Jabłoński Z., Jung I., Stochel J.
Studia Mathematica
|
2013
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tom 215
|
nr 1
11-30
EN
An absolute continuity approach to quasinormality which relates the operator in question to the spectral measure of its modulus is developed. Algebraic characterizations of some classes of operators that emerge in this context are found. Various examples and counterexamples illustrating the concepts of the paper are constructed by using weighted shifts on directed trees. Generalizations of these results that cover the case of q-quasinormal operators are established.
3
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Quasiaffine transforms of operators

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Jung I., Ko E., Pearcy C.
Studia Mathematica
|
2009
|
tom 193
|
nr 3
263-267
EN
We obtain a new sufficient condition (which may be useful elsewhere) that a compact perturbation of a normal operator be the quasiaffine transform of some normal operator. We also give some applications of this result.
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