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Hyperinvariant subspaces of operators on Hilbert spaces

100%

Drahovský Š., Zajac M.

Banach Center Publications

1994

tom 30

nr 1

117-126

Non-hyperreflexive reflexive spaces of operators

81%

Bessonov R., Bračič J., Zajac M.

Studia Mathematica

2011

tom 202

nr 1

65-80

We study operators whose commutant is reflexive but not hyperreflexive. We construct a C₀ contraction and a Jordan block operator $S_{B}$ associated with a Blaschke product B which have the above mentioned property. A sufficient condition for hyperreflexivity of $S_{B}$ is given. Some other results related to hyperreflexivity of spaces of operators that could be interesting in themselves are proved.

Ograniczanie wyników

1 Banach Center Publications

1 Studia Mathematica

2 Zajac M.

1 Bessonov R.

1 Bračič J.

1 Drahovský Š.

1 2011

1 1994

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Hyperinvariant subspaces of operators on Hilbert spaces

Non-hyperreflexive reflexive spaces of operators