Automatic Continuity on Fundamental Locally Multiplicative Topological Algebras

被引:0
|
作者
Omidi, M. R. [1 ]
Farajzadeh, A. P. [2 ]
Soori, E. [3 ]
Gillan, B. Olfatian [1 ]
机构
[1] Kermanshah Univ Technol, Dept Basic Sci, Kermanshah, Iran
[2] Razi Univ, Dept Math, Kermanshah, Iran
[3] Lorestan Univ, Dept Math, Khorramabad, Lorestan, Iran
来源
THAI JOURNAL OF MATHEMATICS | 2019年 / 17卷 / 01期
关键词
fundamental topological algebra; FLM topological algebras; spectral radius; radius of boundedness; homomorphism; mappings;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we prove some results about a new class of topological algebras namely fundamental and fundamental locally multiplicative topological algebras (abbreviated by FLM). Then we present essential results about FLM algebras. We also obtain some results on the automatic continuity of homomorphisms between FLM algebras.
引用
收藏
页码:155 / 164
页数:10
相关论文
共 50 条
  • [21] Continuity of derivations of algebras of locally measurable operators
    A. F. Ber
    V. I. Chilin
    F. A. Sukochev
    Integral Equations and Operator Theory, 2013, 75 : 527 - 557
  • [22] Order continuity of locally compact Boolean algebras
    Zhang, XD
    Schaefer, HH
    Winkowksa-Nowak, K
    POSITIVITY, 1997, 1 (04) : 297 - 303
  • [23] SPECTRAL CONTINUITY AND PERMANENT SETS IN TOPOLOGICAL ALGEBRAS
    BECKENSTEIN, E
    BACHMAN, G
    NARICI, L
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1971, 50 (03): : 277 - +
  • [24] Order Continuity of Locally Compact Boolean Algebras
    Xiao-Dong Zhang
    Helmut H. Schaefer
    Kasia Winkowska-Nowak
    Positivity, 1997, 1 : 297 - 303
  • [25] Functional continuity of topological algebras with orthonormal bases
    Siva, G.
    Moorthy, C. Ganesa
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (04)
  • [26] STRONG SPECTRAL CONTINUITY IN TOPOLOGICAL MATRIX ALGEBRAS
    DAOULTZIMALAMOU, Z
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1988, 2A (02): : 213 - 219
  • [27] Continuity of homomorphisms on complete metrizable topological algebras
    Moorthy, C. Ganesa
    Siva, G.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 1983 - 1987
  • [28] Statistically multiplicative convergence on locally solid Riesz algebras
    Aydin, Abdullah
    ET, Mikail
    TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (04) : 1506 - 1516
  • [29] CHARACTERIZATION OF MULTIPLICATIVE LINEAR FUNCTIONALS FOR GENERAL TOPOLOGICAL ALGEBRAS
    AROSIO, A
    FERREIRA, AV
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 287 (05): : 327 - 330
  • [30] On the algebraic property of locally convex topological algebras
    Ansari-piri, Esmaeil
    Fattahi-solaymandarabi, Banafsheh
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2024, 28 (02): : 233 - 241