Bessel- and Gruss-type inequalities in inner product modules

被引：8
|
作者：
Banic, Senka
Ilisevic, Dijana
Varosanec, Sanja
机构：
[1] Univ Split, Fac Civil Engn & Architecture, Split 21000, Croatia
[2] Univ Zagreb, Dept Math, Zagreb 10000, Croatia
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2007年 / 50卷
关键词：
Bessel inequality; Gruss inequality; inner product H*-module; inner product C*-module;
D O I：
10.1017/S0013091505001021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give Bessel- and Gruss-type inequalities in an inner product module over a proper H*-algebra or a C*-algebra.
引用
收藏
页码：23 / 36
页数：14
相关论文
共 50 条
  • [1] Bessel and Gruss Type Inequalities in Inner Product Modules over Banach *-Algebras
    Ghazanfari, A. G.
    Dragomir, S. S.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [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] Gruss-type inequalities
    Li, X
    Mohapatra, RN
    Rodriguez, RS
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 267 (02) : 434 - 443
  • [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 Gruss-type inequalities for positive linear operators
    Rusu, Maria-Daniela
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2011, 56 (02): : 551 - 565
  • [6] On reverse Schwarz, Bessel, Gruss and Hadamard inequalities in inner product spaces
    Otachel, Zdzislaw
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (04): : 805 - 827
  • [7] Berezin Number, Gruss-Type Inequalities and Their Applications
    Yamanaci, Ulas
    Tunc, Remziye
    Gurdal, Mehmet
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (03) : 2287 - 2296
  • [8] Gruss-Type Inequalities by Means of Generalized Fractional Integrals
    Sousa, J. Vanterler da C.
    Oliveira, D. S.
    de Oliveira, E. Capelas
    [J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2019, 50 (04): : 1029 - 1047
  • [9] Gruss-Type Inequalities for Vector-Valued Functions
    Alomari, Mohammad W.
    Chesneau, Christophe
    Leiva, Victor
    [J]. MATHEMATICS, 2022, 10 (09)
  • [10] GRUSS-TYPE AND OSTROWSKI-TYPE INEQUALITIES IN APPROXIMATION THEORY
    Acu, A. M.
    Gonska, H.
    Rasa, I.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2011, 63 (06) : 843 - 864
12345