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

页数：16

共 50 条

[41] VECTOR-VALUED DUALITY FOR MODULES OVER BANACH-ALGEBRAS
LOGINOV, AI
SHULMAN, VS
[J]. RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS, 1994, 43 (01): : 1 - 29
[42] INEQUALITIES OF GRUSS TYPE INVOLVING THE p-HH-NORMS IN THE CARTESIAN PRODUCT SPACE
Kikianty, Eder
Dragomir, S. S.
Cerone, P.
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (04): : 543 - 557
[43] Quadratic functionals on modules over complex Banach *-algebras with an approximate identity
Ilisevic, D
[J]. STUDIA MATHEMATICA, 2005, 171 (02) : 103 - 123
[44] Chebyshev-Gruss type inequalities on RN over spherical shells and balls
Anastassiou, George A.
[J]. APPLIED MATHEMATICS LETTERS, 2008, 21 (02) : 119 - 127
[45] Norm inequalities of Čebyšev type for power series in Banach algebras
Silvestru S Dragomir
Marius V Boldea
Constantin Buşe
Mihail Megan
[J]. Journal of Inequalities and Applications, 2014
[46] NEW NORM INEQUALITIES OF CEBYSEV TYPE FOR POWER SERIES IN BANACH ALGEBRAS
Dragomir, S. S.
Boldea, M. V.
Megan, M.
[J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2015, 39 (01): : 41 - 52
[47] Some extension algebras for standard modules over KLR algebras of type A
Buursma, Doeke
Kleshchev, Alexander
Steinberg, David J.
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (11)
[48] INNER PRODUCT MODULES ARISING FROM COMPACT AUTOMORPHISM GROUPS OF VONNEUMANN ALGEBRAS
PASCHKE, WL
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 224 (01) : 87 - 102
[49] The classification of τ-tilting modules over algebras of type Dn
Gao, Hanpeng
[J]. PERIODICA MATHEMATICA HUNGARICA, 2023, 86 (02) : 503 - 513
[50] Resolutions of standard modules over KLR algebras of type A
Buursma, Doeke
Kleshchev, Alexander
Steinberg, David J.
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 103 (03): : 1035 - 1065

← 1 2 3 4 5 →