Diagonalization of compact operators on Hilbert modules overC *-algebras of real rank zero
نویسندگان
چکیده
منابع مشابه
Diagonalization of compact operators in Hilbert modules over C-algebras of real rank zero
It is known that the classical Hilbert–Schmidt theorem can be generalized to the case of compact operators in Hilbert A-modules H∗ A over a W ∗-algebra of finite type, i.e. compact operators in H∗ A under slight restrictions can be diagonalized over A. We show that if B is a weakly dense C∗-subalgebra of real rank zero in A with some additional property then the natural extension of a compact o...
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ژورنال
عنوان ژورنال: Mathematical Notes
سال: 1997
ISSN: 0001-4346,1573-8876
DOI: 10.1007/bf02355460