Geodesic
Backward extensions of hyperexpansive operators
Zenon J. Jabłoński1 ; Il Bong Jung2 ; Jan Stochel1
1Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
2Department of Mathematics College of Natural Sciences Kyungpook National University Daegu 702-701 Korea
Studia Mathematica, Tome 173 (2006) no. 3, pp. 233-257
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm173-3-2
Keywords: concept k step full backward extension subnormal operators adapted context completely hyperexpansive operators question existence k step full backward extension solved within class operators help operator version levy khinchin formula phenomena comparison subnormal operators found related classes operators discussed

Zenon J. Jabłoński  1   ; Il Bong Jung  2   ; Jan Stochel  1

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
2 Department of Mathematics College of Natural Sciences Kyungpook National University Daegu 702-701 Korea 
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Zenon J. Jabłoński; Il Bong Jung; Jan Stochel. Backward extensions of hyperexpansive operators. Studia Mathematica, Tome 173 (2006) no. 3, pp. 233-257. doi: 10.4064/sm173-3-2

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