Diagonalizing 'Compact' Operators on Hilbert W*-Modules
نویسندگان
چکیده
منابع مشابه
8 v 2 1 9 D ec 1 99 4 Diagonalizing ” compact ” operators on Hilbert W * - modules
For W*-algebras A and self-dual Hilbert A-modules M we show that every selfadjoint, ”compact” module operator on M is diagonalizable. Some specific properties of the eigenvalues and of the eigenvectors are described.
متن کامل*-frames for operators on Hilbert modules
$K$-frames which are generalization of frames on Hilbert spaces, were introduced to study atomic systems with respect to a bounded linear operator. In this paper, $*$-$K$-frames on Hilbert $C^*$-modules, as a generalization of $K$-frames, are introduced and some of their properties are obtained. Then some relations between $*$-$K$-frames and $*$-atomic systems with respect to a...
متن کاملDiagonalization of compact operators in Hilbert modules over finite W ∗ - algebras
It is known that a continuous family of compact operators can be diagonalized pointwise. One can consider this fact as a possibility of di-agonalization of the compact operators in Hilbert modules over a com-mutative W *-algebra. The aim of the present paper is to generalize this fact for a finite W *-algebra A not necessarily commutative. We prove that for a compact operator K acting in the ri...
متن کاملCompact Operators on Hilbert Space
Among all linear operators on Hilbert spaces, the compact ones (defined below) are the simplest, and most imitate the more familiar linear algebra of finite-dimensional operator theory. In addition, these are of considerable practical value and importance. We prove a spectral theorem for self-adjoint operators with minimal fuss. Thus, we do not invoke broader discussions of properties of spectr...
متن کاملextend numerical radius for adjointable operators on Hilbert C^* -modules
In this paper, a new definition of numerical radius for adjointable operators in Hilbert -module space will be introduced. We also give a new proof of numerical radius inequalities for Hilbert space operators.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Zeitschrift für Analysis und ihre Anwendungen
سال: 1995
ISSN: 0232-2064
DOI: 10.4171/zaa/661