Operator-theoretic positivstellensatze

被引：0
|
作者：
Ambrozie, CG
Vasilescu, FH
机构：
[1] Romanian Acad, Inst Math, RO-70700 Bucharest, Romania
[2] Univ Lille 1, UFR Math, CNRS, UMR 8524, FR-59655 Villeneuve Dascq, France
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2003年 / 22卷 / 02期
关键词：
operator positivity; polynomials; semialgebraic sets;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the structure of positive polynomials with coefficients in an operator algebra as a non-commutative infinite-dimensional analogue of Hilbert's 17-th problem.
引用
收藏
页码：299 / 314
页数：16
相关论文
共 50 条
  • [31] An Algebraic Interpretation to the Operator-Theoretic Approach to Stabilizability. Part I: SISO Systems
    A. Quadrat
    Acta Applicandae Mathematica, 2005, 88 : 1 - 45
  • [32] An operator-theoretic approach to invariant integrals on quantum homogeneous SUn,1-spaces
    Kuersten, Klaus-Detlef
    Wagner, Elmar
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2007, 43 (01) : 1 - 37
  • [33] An algebraic interpretation to the operator-theoretic approach to stabilizability. Part I: SISO systems
    Quadrat, A
    ACTA APPLICANDAE MATHEMATICAE, 2005, 88 (01) : 1 - 45
  • [34] An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum
    Govindarajan, Nithin
    Arbabi, Hassan
    van Blargian, Louis
    Matchen, Timothy
    Tegling, Emma
    Mezic, Igor
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 6477 - 6484
  • [35] Extended-range statistical ENSO prediction through operator-theoretic techniques for nonlinear dynamics
    Wang, Xinyang
    Slawinska, Joanna
    Giannakis, Dimitrios
    SCIENTIFIC REPORTS, 2020, 10 (01)
  • [36] AN OPERATOR-THEORETIC APPROACH TO INVARIANT INTEGRALS ON QUANTUM HOMOGENEOUS SLn+1(R)-SPACES
    Osuna Castro, Osvaldo
    Wagner, Elmar
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2012, 9 (01)
  • [37] Revealing trends and persistent cycles of non-autonomous systems with autonomous operator-theoretic techniques
    Froyland, Gary
    Giannakis, Dimitrios
    Luna, Edoardo
    Slawinska, Joanna
    NATURE COMMUNICATIONS, 2024, 15 (01)
  • [38] Reality and non-reality of the spectrum of PT-symmetric operators: Operator-theoretic criteria
    Caliceti, E.
    Graffi, S.
    PRAMANA-JOURNAL OF PHYSICS, 2009, 73 (02): : 241 - 249
  • [39] Operator-Theoretic Method for Two-Interval Sturm-Liouville Problems with Impulsive Effects
    Mukhtarov, O. Sh.
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES (ICANAS 2017), 2017, 1833
  • [40] An operator-theoretic approach to a multiple point Nevanlinna-Pick problem for generalized Caratheodory functions
    Klotz, Lutz
    Lasarow, Andreas
    Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems, 2006, 162 : 211 - 229
12345