CLASSES OF OPERATOR-SMOOTH FUNCTIONS. III. STABLE FUNCTIONS AND FUGLEDE IDEALS
نویسندگان
چکیده
منابع مشابه
THE FUGLEDE COMMUTATrvTTY THEOREM MODULO OPERATOR IDEALS
Let H denote a separable, infinite-dimensional complex Hilbert space. A two-sided ideal / of operators on H possesses the generalized Fuglede property (GFP) if, for every normal operator N and every X e L(H), NX XN e I implies N*X XN* e /. Fuglede's Theorem says that / = {0} has the GFP. It is known that the class of compact operators and the class of Hilbert-Schmidt operators have the GFP. We ...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2005
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s001309150300018x