Bessel and Gruss Type Inequalities in Inner Product Modules over Banach *-Algebras

被引：2
|
作者：
Ghazanfari, A. G. [1 ]
Dragomir, S. S. [2 ,3 ]
机构：
[1] Lorestan Univ, Dept Math, Khorramabad, Iran
[2] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
[3] Univ Witwatersrand, Sch Computat & Appl Math, Johannesburg, South Africa
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
关键词：
Hilbert Space; Real Number; Straightforward Calculation; Symmetry Condition; Previous Lemma;
D O I：
10.1155/2011/562923
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give an analogue of the Bessel inequality and we state a simple formulation of the Gruss type inequality in inner product C*-modules, which is a refinement of it. We obtain some further generalization of the Gruss type inequalities in inner product modules over proper H*-algebras and unital Banach *-algebras for C*-seminorms and positive linear functionals.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Bessel- and Gruss-type inequalities in inner product modules
    Banic, Senka
    Ilisevic, Dijana
    Varosanec, Sanja
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2007, 50 : 23 - 36
  • [2] Gruss type inequalities in inner product modules
    Ilisevic, D
    Varosanec, S
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (11) : 3271 - 3280
  • [3] Bessel and Grüss Type Inequalities in Inner Product Modules over Banach [inline-graphic not available: see fulltext]-Algebras
    A G Ghazanfari
    S S Dragomir
    [J]. Journal of Inequalities and Applications, 2011
  • [4] On Bessel and Gruss inequalities for orthornormal families in inner product spaces
    Dragomir, SS
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 69 (02) : 327 - 340
  • [5] On reverse Schwarz, Bessel, Gruss and Hadamard inequalities in inner product spaces
    Otachel, Zdzislaw
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (04): : 805 - 827
  • [6] Gruss type discrete inequalities in inner product spaces, revisited
    Dragomir, Sever S.
    [J]. Inequality Theory and Applications, Vol 5, 2007, 5 : 61 - 69
  • [7] 2-HILBERT C*-MODULES AND SOME GRUSS' TYPE INEQUALITIES IN A-2-INNER PRODUCT SPACES
    Mahchari, Tabandeh Mehdiabad
    Nazari, Akbar
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 721 - 734
  • [8] Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications
    Dragomir, Sever Silverstru
    Cho, Yeol Je
    Kim, Seong Sik
    Kim, Young-Ho
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2008, 48 (02): : 207 - 222
  • [9] LANDAU AND GRUSS TYPE INEQUALITIES FOR INNER PRODUCT TYPE INTEGRAL TRANSFORMERS IN NORM IDEALS
    Jocic, Danko R.
    Krtinic, Dorde
    Moslehian, Mohammad Sal
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (01): : 109 - 125
  • [10] PRE-GRUSS TYPE INEQUALITIES IN 2-INNER PRODUCT SPACES
    Hwang, Dah-Yan
    Yang, Gou-Sheng
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2007, 38 (03): : 191 - 204
12345