Title of article
Hyperinvariant subspaces and quasinilpotent operators
Author/Authors
Eskandari، Rasoul نويسنده Safety Engineer, power distribution companies Alborz Province , , Mirzapour، Farzollah نويسنده University of Zanjan ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
9
From page
805
To page
813
Abstract
For a bounded linear operator on Hilbert space we define a sequence of the so-called weakly extremal vectors. We study the properties of weakly extremal vectors and show that the orthogonality equation is valid for weakly extremal vectors. Also we show that any quasinilpotent operator $T$ has an hypernoncyclic vector, and so $T$ has a nontrivial hyperinvariant subspace.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2015
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2384650
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