DT-operators and decomposability of Voiculescu's circular operator
نویسندگان
چکیده
منابع مشابه
Dt–operators and Decomposability of Voiculescu’s Circular Operator
The DT–operators are introduced, one for every pair (μ, c) consisting of a compactly supported Borel probability measure μ on the complex plane and a constant c > 0. These are operators on Hilbert space that are defined as limits in ∗– moments of certain upper triangular random matrices. The DT–operators include Voiculescu’s circular operator and elliptic deformations of it, as well as the circ...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولOn Decomposability of Compact Perturbations of Operators
Let A be a Hilbert-space operator satisfying the growth condition ||(z —/4) || < expi&[dist(z, /)]~SS, z //.where / is a C Jordan curve, and K > 0, s £ (0, 1) are two constants. Let T = A + B for some fi e C , I < p < oc. It is shown that T is strongly decomposable if and only if cr(T') does not fill the "interior" of /. 1, H. Radjavi and the author [13] showed that if a Hilbert-space operator ...
متن کاملDecomposability and the Cyclic Behavior of Parabolic Composition Operators
This paper establishes decomposability for composition operators induced on the Hardy spaces H (1 ≤ p < ∞) by parabolic linear fractional self-maps of the unit disc that are not automorphisms. This result, along with a recent theorem of Miller and Miller [15], shows that no such composition operator is supercyclic. The work here completes part of a previous investigation [1] where the author an...
متن کاملOperator Decomposability: A New Type of Problem Structure
This paper dcscribcs a structural property of problems that allows an efficient strategy for solving a large number of problem instances to be based on a small amount of knowlcdgc. Specifically, the property of o)~emlor ~~~~o/)?l~osabili/~~ is shown to bc 21 sufficient condition for the cffcctivc application of the Macro Problem Solver, a method that rcprcscnts its knowlcdgc of a problem by ;I ...
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: American Journal of Mathematics
سال: 2004
ISSN: 1080-6377
DOI: 10.1353/ajm.2004.0004