Abstract We identify the linear span of commutators AB − BA, where A is a trace-class operator and B is any bounded operator on a separable Hilbert space, or where A, B are both Hilbert-Schmidt operators, thus answering questions raised by work of Anderson, Vaserstein, and Weiss....
Let L^1 be the algebra of trace-class operators in an infinite dimensional, separable Hilbert space over the complex numbers. Consider the rational assembly map in homotopy algebraic K-theory H_p^G(E(G,Fin),KH(L^1))\\otimes\\Q o KH_p(L^1[G])\\otimes\\Q. The rational KH-...
the tracethe spectra of operators with compact resolventapplications to differential and integral operatorsThis chapter deals with several classes of bounded operators: the compact, Hilbert-Schmidt, trace-class and degenerate operators; they are related by the inclusions bounded compact Hilbert-Schmidt ...
Accordingly, after the characterization of Hilbert-Schmidt and trace class operators has been presented, the spectral representation for these operators is derived. Furthermore the dual spaces (spaces of continuous linear functionals) of these two spaces of operators are determined and their r么le in...
doi:10.1063/1.4763470Sven NordeboMats GustafssonAndrei KhrennikovBö rje NilssonJoachim ToftAmerican Institute of PhysicsJournal of Mathematical Physics
网络迹类 网络释义 1. 迹类 class的翻译中文意... ... topological isomorphism classes 拓扑同构类trace class迹类trade extension class [美]职业讲习班 ... www.chinabaike.com|基于6个网页 例句 释义: 全部,迹类 更多例句筛选
The existence of unitarily invariant trace extensions of the standard trace on the ideal of finite rank operators in B (H) past the trace class to a strictly larger ideal is proven using matrix forms and a certain commutator trace obstru... K Dykema,G Weiss,M Wodzicki - Birkhäuser Basel...
摘要: In the present paper, we first give two order theoretic proofs for a known fixed point theorem in partially ordered metric spaces and then apply the results to find solutions of trace class operator equations.关键词:Fixed points posets trace class operators ...
We complete here our study of unbounded, bounded, and compact operators by two new classes: trace-class and Hilbert–Schmidt (H-S.) operators. The general picture is the following:
nto weighted spaces The trace class property of embedding operators of sobolev classes into weighted spacesThe trace class property of embedding operators of sobolev classes into weighted spaceschaosbilliardscontrolcorrelation functionsAbstract Without Abstract...