8 v 2 1 9 D ec 1 99 4 Diagonalizing ” compact ” operators on Hilbert W * - modules
نویسنده
چکیده
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.
منابع مشابه
nt - p h / 99 12 11 4 v 1 2 8 D ec 1 99 9 On partial fidelities
For pairs of density operators on finite dimensional Hilbert spaces we define partial fidelities, prove their concavity and other properties. Partial fidelities characterize equivalence classes which are partially ordered in a natural way.
متن کاملar X iv : m at h - ph / 9 91 20 06 v 1 7 D ec 1 99 9 Compact Quantum Groupoids
Quantum groupoids are a joint generalization of groupoids and quantum groups. We propose a definition of a compact quantum groupoid that is based on the theory of C *-algebras and Hilbert bimodules. The essential point is that whenever one has a tensor product over C in the theory of quantum groups, one now uses a certain tensor product over the base algebra of the quantum groupoid.
متن کاملIsomorphisms of Hilbert C*-Modules and ∗-Isomorphisms of Related Operator C*-Algebras
Let M be a Banach C*-module over a C*-algebra A carrying two A-valued inner products 〈., .〉1, 〈., .〉2 which induce equivalent to the given one norms on M. Then the appropriate unital C*-algebras of adjointable bounded A-linear operators on the Hilbert A-modules {M, 〈., .〉1} and {M, 〈., .〉2} are shown to be ∗-isomorphic if and only if there exists a bounded A-linear isomorphism S of these two Hi...
متن کاملar X iv : s ol v - in t / 9 71 20 13 v 1 1 9 D ec 1 99 7 A RIEMANN - HILBERT PROBLEM FOR AN ENERGY DEPENDENT SCHRÖDINGER OPERATOR
We consider an inverse scattering problem for Schrödinger operators with energy dependent potentials. The inverse problem is formulated as a RiemannHilbert problem on a Riemann surface. A vanishing lemma is proved for two distinct symmetry classes. As an application we prove global existence theorems for the two distinct systems of partial differential equations ut + (u/2 + w)x = 0, wt ± uxxx +...
متن کاملar X iv : f un ct - a n / 96 05 00 1 v 1 4 M ay 1 99 6 Diagonalizing operators over continuous fields of C ∗ - algebras
It is well known that in the commutative case, i.e. for A = C(X) being a commutative C *-algebra, compact selfadjoint operators acting on the Hilbert C *-module H A (= continuous families of such operators K(x), x ∈ X) cannot be diagonalized inside this module but it becomes possible if we pass to a bigger module over a bigger W *-algebra L ∞ (X) = A ⊃ A which can be obtained from A by completi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1994