Some Properties of *-frames in Hilbert Modules Over Pro-C*-algebras

被引：2
|
作者：
Irani, Mona Naroei [1 ]
Nazari, Akbar [2 ]
机构：
[1] Islamic Azad Univ, Kerman Branch, Dept Math, Kerman, Iran
[2] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2019年 / 16卷 / 01期
关键词：
Hilbert modules over pro-C*-algebras; Standard *-frame of multipliers; *-frame operator; Pre-*-frame;
D O I：
10.22130/scma.2018.75253.328
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by using the sequence of adjointable operators from pro-C*-algebra A into a Hilbert A-module E. We introduce frames with bounds in pro-C*-algebra A. New frames in Hilbert modules over pro-C*-algebras are called standard *-frames of multipliers. Meanwhile, we study several useful properties of standard *-frames in Hilbert modules over pro-C*-algebras and investigate conditions that under which the sequence {h(i)}(i is an element of I) is a standard *-frame of multipliers for Hilbert modules over pro-C*-algebras. Also the effect of operators on standard *-frames of multipliers for E is examined. Finally, compositions of standard *-frames in Hilbert modules over pro-C*-algebras are studied.
引用
收藏
页码：105 / 117
页数：13
相关论文
共 50 条
  • [31] Some Properties of Controlled K-g-Frames in Hilbert C*-Modules
    Echarghaoui, Rachid
    Ghiati, M'hamed
    Mouniane, Mohammed
    Rossafi, Mohamed
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20
  • [32] Bounded and unitary elements in pro-C*-algebras
    El Harti, Rachid
    Lukacs, Gabor
    [J]. APPLIED CATEGORICAL STRUCTURES, 2006, 14 (02) : 151 - 164
  • [33] Crossed products by Hilbert pro-C*-bimodules
    Joita, Maria
    Zarakas, Ioannis
    [J]. STUDIA MATHEMATICA, 2013, 215 (02) : 139 - 156
  • [34] A characterization of Hilbert C*-modules over commutative C*-algebras
    Akrami, Rasoul
    Janfada, Ali Reza
    Miri, Mohammad Reza
    [J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2018, 11 (04): : 557 - 561
  • [35] On Hilbert modules over locally C*-algebras II
    Joiţa M.
    [J]. Periodica Mathematica Hungarica, 2005, 51 (1) : 27 - 36
  • [36] Diagonalizing operators in Hilbert modules over C*-algebras
    Manuilov V.M.
    [J]. Journal of Mathematical Sciences, 2000, 98 (2) : 202 - 244
  • [37] PRO-C COMPLETIONS OF CROSSED-MODULES
    KORKES, FJ
    PORTER, T
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1990, 33 : 39 - 51
  • [38] FRAMES IN HILBERT C*-MODULES
    Alijani, A.
    Dehghan, M. A.
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2011, 73 (04): : 89 - 106
  • [39] Bounded and Unitary Elements in Pro-C*-algebras
    Rachid El Harti
    Gábor Lukács
    [J]. Applied Categorical Structures, 2006, 14 : 151 - 164
  • [40] Some Inequalities for g-Frames in Hilbert C*-Modules
    Xiang, Zhong-Qi
    [J]. MATHEMATICS, 2019, 7 (01):
12345