CHARACTERIZATIONS OF (JORDAN) DERIVATIONS ON BANACH ALGEBRAS WITH LOCAL ACTIONS

被引：1

作者：

Li, Jiankui ^{[1
]}

Li, Shan ^{[2
]}

Luo, Kaijia ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

[2] Jiangsu Univ Technol, Dept Math, Changzhou 213001, Peoples R China

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Banach algebra; derivation; Jordan derivation; separating point; C-ASTERISK-ALGEBRAS; MAPS; MAPPINGS;

D O I：

10.4134/CKMS.c220123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a unital Banach *-algebra and M be a unital *-A-bimodule. If W is a left separating point of M, we show that every *-derivable mapping at W is a Jordan derivation, and every *-left derivable mapping at W is a Jordan left derivation under the condition WA = AW. Moreover we give a complete description of linear mappings & delta; and & tau; from A into M satisfying & delta;(A)B* +A & tau; (B)* = 0 for any A, B & ISIN; A with AB* = 0 or & delta;(A) o B* + A o & tau; (B)* = 0 for any A, B & ISIN; A with A o B* = 0, where A o B = AB + BA is the Jordan product.

引用

页码：469 / 485

页数：17

共 25 条

[11]

Ding Y, 2017, B IRAN MATH SOC, V43, P427

[12]

Fadaee B, 2020, B MALAYS MATH SCI SO, V43, P2851, DOI 10.1007/s40840-019-00841-6

[13] CHARACTERIZATION OF LINEAR MAPPINGS ON (BANACH) *-ALGEBRAS BY SIMILAR PROPERTIES TO DERIVATIONS [J].

Fadaee, Behrooz ;

Fallahi, Kamal ;

Ghahramani, Roger .

MATHEMATICA SLOVACA, 2020, 70 (04) :1003-1011

[14] TERNARY DERIVATIONS OF NEST ALGEBRAS [J].

Fosner, Ajda ;

Ghahramani, Hoger .

OPERATORS AND MATRICES, 2021, 15 (01) :327-339

[15] LINEAR MAPS ON BLOCK UPPER TRIANGULAR MATRIX ALGEBRAS BEHAVING LIKE JORDAN DERIVATIONS THROUGH COMMUTATIVE ZERO PRODUCTS [J].

Ghahramani, H. ;

Ghosseiri, M. N. ;

Heidarizadeh, L. .

OPERATORS AND MATRICES, 2020, 14 (01) :189-205

[16] ON DERIVATIONS AND JORDAN DERIVATIONS THROUGH ZERO PRODUCTS [J].

Ghahramani, Hoger .

OPERATORS AND MATRICES, 2014, 8 (03) :759-771

[17] Characterisations of derivations on some operator algebras [J].

Jing, W ;

Lu, SJ ;

Li, PT .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 66 (02) :227-232

[18] Symmetric amenability and the nonexistence of Lie and Jordan derivations [J].

Johnson, BE .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1996, 120 :455-473

[19] Linear Mappings Characterized by Action on Zero Products or Unit Products [J].

Li, Jiankui ;

Li, Shan .

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (01) :31-40

[20] Characterizations of Jordan derivations and Jordan homomorphisms [J].

Li, Jiankui ;

Zhou, Jiren .

LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (02) :193-204

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