On the computation of spectra in free probability

被引：6
|
作者：
Lehner, F [1 ]
机构：
[1] Johannes Kepler Univ Linz, Insitut Anal & Numer, A-4040 Linz, Austria
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2001年 / 183卷 / 02期
关键词：
spectrum of convolution operator; free probability; free product group; random walk; Haagerup inequality;
D O I：
10.1006/jfan.2001.3748
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use free probability techniques to compute borders of spectra of non-hermitian operators in Finite von Neumann algebras which arise as "free sums" of "simple" operators. To this end, the resolvent is analyzed with the aid of the Haagerup inequality. Concrete examples coming from reduced C*-algebras of free product groups and leading to systems of polynomial equations illustrate the approach. (C) 2001 Academic Press.
引用
收藏
页码：451 / 471
页数：21
相关论文
共 50 条
  • [31] Probability 1 computation with chemical reaction networks
    Rachel Cummings
    David Doty
    David Soloveichik
    Natural Computing, 2016, 15 : 245 - 261
  • [32] PROBABILITY OF GENE IDENTITY BY DESCENT - COMPUTATION AND APPLICATIONS
    WHITTEMORE, AS
    HALPERN, J
    BIOMETRICS, 1994, 50 (01) : 109 - 117
  • [33] Computation of the probability of lightning damage to ground objects
    M. M. Rezinkina
    V. V. Knyazyev
    V. I. Kravchenko
    Technical Physics, 2007, 52 : 59 - 64
  • [34] COMPUTATION OF THE CIRCULAR ERROR-PROBABILITY INTEGRAL
    GILLIS, JT
    IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1991, 27 (06) : 906 - 910
  • [35] Optimal Computation of Probability Functions for Pedigree Analysis
    Thomas, Alun
    Mathematical Medicine and Biology, 1986, 3 (03) : 167 - 178
  • [36] Error probability computation in optical fiber links
    Vandroogenbroek, M
    Wuilmart, L
    Megret, P
    Blondel, M
    MELECON '96 - 8TH MEDITERRANEAN ELECTROTECHNICAL CONFERENCE, PROCEEDINGS, VOLS I-III: INDUSTRIAL APPLICATIONS IN POWER SYSTEMS, COMPUTER SCIENCE AND TELECOMMUNICATIONS, 1996, : 1737 - 1740
  • [37] A general probability estimation approach for neural computation
    Khaikine, M
    Holthausen, K
    NEURAL COMPUTATION, 2000, 12 (02) : 433 - 450
  • [38] Randomized Online Computation with High Probability Guarantees
    Komm, Dennis
    Kralovic, Rastislav
    Kralovic, Richard
    Momke, Tobias
    ALGORITHMICA, 2022, 84 (05) : 1357 - 1384
  • [39] Probability 1 computation with chemical reaction networks
    Cummings, Rachel
    Doty, David
    Soloveichik, David
    NATURAL COMPUTING, 2016, 15 (02) : 245 - 261
  • [40] Computation of the probability of lightning damage to ground objects
    Rezinkina, M. M.
    Knyazyev, V. V.
    Kravehenko, V. I.
    TECHNICAL PHYSICS, 2007, 52 (01) : 59 - 64
12345