ARENS REGULARITY OF BILINEAR MAPS AND BANACH MODULE ACTIONS

被引：0
|
作者：
Sahleh, A. [1 ]
Najarpisheh, L. [1 ]
机构：
[1] Univ Guilan, Fac Math Sci, POB 1914, Rasht, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 02期
关键词：
Banach algebra; bilinear map; Arens product; second dual; Banach module action; IRREGULARITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X, Y and Z be Banach spaces and let f : X x Y -> Z be a bounded bilinear map. In this paper we study the relation between Arens regularity of f and the reflexivity of Y. We also give some conditions under which the Arens regularity of a Banach algebra A implies the Arens regularity of certain Banach right module action of A.
引用
收藏
页码：285 / 289
页数：5
相关论文
共 50 条
  • [1] ARENS REGULARITY AND MODULE ARENS REGULARITY OF MODULE ACTIONS
    Amini, Massoud
    Bodaghi, Abasalt
    Ettefagh, Mina
    Azar, Kazem Haghnejad
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2012, 74 (02): : 75 - 86
  • [2] ARENS REGULARITY OF BILINEAR FORMS AND UNITAL BANACH MODULE SPACES
    Azar, K. Haghnejad
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (02): : 505 - 520
  • [3] Arens regularity of module actions and weak amenability of Banach algebras
    Ali Bagheri Vakilabad
    Kazem Haghnejad Azar
    Ali Jabbari
    [J]. Periodica Mathematica Hungarica, 2015, 71 : 224 - 235
  • [4] Arens Regularity of Banach Module Actions and the Strongly Irregular Property
    Sheikhali, Abotaleb
    Sheikhali, Abdolmotaleb
    Akhlaghi, Neda
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 13 (01): : 41 - 46
  • [5] Arens regularity of module actions and weak amenability of Banach algebras
    Vakilabad, Ali Bagheri
    Azar, Kazem Haghnejad
    Jabbari, Ali
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2015, 71 (02) : 224 - 235
  • [6] Arens regularity of module actions
    Gordj, M. Eshaghi
    Filali, M.
    [J]. STUDIA MATHEMATICA, 2007, 181 (03) : 237 - 254
  • [7] New Concepts on Module Arens Regularity for Module Banach Algebras
    Rahpeyma, Omid Pourbahri
    Bagha, Davood Ebrahimi
    Rad, Ghasem Soleimani
    [J]. JOURNAL OF MATHEMATICS, 2024, 2024
  • [8] ARENS REGULARITY OF MODULE ACTIONS AND THE SECOND ADJOINT OF A DERIVATION
    Mohammadzadeh, S.
    Vishki, H. R. E.
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 77 (03) : 465 - 476
  • [9] Module Arens regularity for semigroup algebras
    Rezavand, Reza
    Amini, Massoud
    Sattari, Mohammad Hossein
    Bagha, Davood Ebrahimi
    [J]. SEMIGROUP FORUM, 2008, 77 (02) : 300 - 305
  • [10] The Arens Triadjoints of some Bilinear Maps
    Yilmaz, Rusen
    [J]. FILOMAT, 2014, 28 (05) : 963 - 979
12345