The inverse along an element in rings with an involution, Banach algebras and C*-algebras

被引：25
|
作者：
Benitez, Julio [1 ]
Boasso, Enrico [2 ]
机构：
[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Dept Matemat Aplicada, Valencia, Spain
[2] Trieste TS, Trieste, Italy
来源：
LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 02期
关键词：
Invertibility along an element; rings with an involution; Banach algebras; C*-algebras; GENERALIZED INVERSES; REPRESENTATION;
D O I：
10.1080/03081087.2016.1183559
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Properties of the inverse along an element in rings with an involution, Banach algebras and C*-algebras will be studied unifying known expressions concerning generalized inverses.
引用
收藏
页码：284 / 299
页数：16
相关论文
共 50 条
  • [21] Real Banach * Algebras
    Bingren Li Institute of Mathematics
    Acta Mathematica Sinica(English Series), 2000, 16 (03) : 469 - 486
  • [22] Adjugates in Banach algebras
    Harte, R
    Hernández, C
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (05) : 1397 - 1404
  • [23] On the Weighted Pseudo Drazin Invertible Elements in Associative Rings and Banach Algebras
    Chen, Jianlong
    Chen, Xiaofeng
    Zguitti, Hassane
    FILOMAT, 2019, 33 (19) : 6359 - 6367
  • [24] φ-AMENABILITY OF BANACH ALGEBRAS
    Ghaffari, A.
    Alinejad, A.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2012, 38 (03) : 725 - 738
  • [25] QUANTUM OF BANACH ALGEBRAS
    Faroughi, M. H.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2006, 12 (01): : 32 - 37
  • [26] Examples of banach spaces that are not banach algebras
    Mullen, Ryan
    Function Spaces, 2007, 435 : 335 - 342
  • [27] On inverse semigroup C*-algebras and crossed products
    Milan, David
    Steinberg, Benjamin
    GROUPS GEOMETRY AND DYNAMICS, 2014, 8 (02) : 485 - 512
  • [28] Further results on the inverse along an element in semigroups and rings
    Zhu, Huihui
    Chen, Jianlong
    Patricio, Pedro
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (03) : 393 - 403
  • [29] On prime and semiprime rings with generalized derivations and non-commutative Banach algebras
    MOHD ARIF RAZA
    NADEEM UR REHMAN
    Proceedings - Mathematical Sciences, 2016, 126 : 389 - 398
  • [30] Differential identities involving three generalized derivations on prime rings and Banach algebras
    Bouchannafa, Karim
    Hermas, Abderrahman
    Oukhtite, Lahcen
    GEORGIAN MATHEMATICAL JOURNAL, 2025,
12345