GRUSS' TYPE INEQUALITIES FOR FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES

被引：0
|
作者：
Dragomir, S. S. [1 ]
机构：
[1] Victoria Univ, Sch Engn & Sci, Res Grp Math Inequal & Applicat, POB 14428, Melbourne, Vic 8001, Australia
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2011年 / 28期
关键词：
selfadjoint operators; Gruss inequality; functions of selfadjoint operators;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some inequalities of Gruss' type for functions of selfadjoint operators in Hilbert spaces, under suitable assumptions for the involved operators, are given.
引用
收藏
页码：205 / 222
页数：18
相关论文
共 50 条
  • [31] Tensorial and Hadamard product integral inequalities for convex functions of continuous fields of operators in Hilbert spaces
    Dragomir, Silvestru Sever
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2025, 54 (01): : 115 - 124
  • [32] Gruss-type inequalities
    Li, X
    Mohapatra, RN
    Rodriguez, RS
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 267 (02) : 434 - 443
  • [33] Some vector inequalities for two operators in Hilbert spaces with applications
    Dragomir, Sever S.
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2016, 8 (01) : 75 - 92
  • [34] Weighted quadrature rules via Gruss type inequalities for weighted LP spaces
    Aljinovic, A. Aglic
    Pecaric, J.
    Tipuric-Spuzevic, S.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 264 : 1 - 12
  • [35] Some inequalities of the Gruss type for conformable k-fractional integral operators
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    Ghaffar, Abdul
    Qi, Feng
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (01)
  • [36] A Gruss type inequality for vector-valued functions in Hilbert C*-modules
    Ghazanfari, Amir Ghasem
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [37] Selfadjoint operators in S-spaces
    Philipp, Friedrich
    Szafraniec, Franciszek Hugon
    Trunk, Carsten
    JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (04) : 1045 - 1059
  • [38] Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces
    Dragomir, Sever S.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (01) : 256 - 264
  • [39] Some integral inequalities for operator monotonic functions on Hilbert spaces
    Dragomir, Silvestro Sever
    SPECIAL MATRICES, 2020, 8 (01): : 172 - 180
  • [40] Berezin Number, Gruss-Type Inequalities and Their Applications
    Yamanaci, Ulas
    Tunc, Remziye
    Gurdal, Mehmet
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (03) : 2287 - 2296
12345