Smooth operators in the commutant of a contraction
Pascale Vitse
Studia Mathematica, Tome 157 (2003), p. 241-263 / Harvested from The Polish Digital Mathematics Library
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For a completely non-unitary contraction T, some necessary (and, in certain cases, sufficient) conditions are found for the range of the H∞ calculus, H∞(T), and the commutant, T’, to contain non-zero compact operators, and for the finite rank operators of T’ to be dense in the set of compact operators of T’. A sufficient condition is given for T’ to contain non-zero operators from the Schatten-von Neumann classes Sp.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:286162 
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Pascale Vitse. Smooth operators in the commutant of a contraction. Studia Mathematica, Tome 157 (2003) pp. 241-263. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-3-4/