A local property of derivations on Jordan-Banach algebras

被引：1

作者：

Villena, AR ^{[1
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 03期

关键词：

derivations; Jordan-Banach algebras; Singer-Wermer conjecture;

D O I：

10.1081/AGB-100001684

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a (possibly unbounded) derivation on a complex Jordan-Banach algebra J. We show that if a is an element of J and D(2)a = 0, then Da is quasinilpotent.

引用

页码：1295 / 1300

页数：6

共 50 条

[41] LEFT JORDAN DERIVATIONS ON BANACH ALGEBRAS AND RELATED MAPPINGS
Jung, Yong-Soo
Park, Kyoo-Hong
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (01) : 151 - 157
[42] FULL SUBALGEBRAS OF JORDAN-BANACH ALGEBRAS AND ALGEBRA NORMS ON JB-ASTERISK-ALGEBRAS
PEREZ, J
RICO, L
RODRIGUEZ, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (04) : 1133 - 1143
[43] NON-DEGENERATELY ULTRAPRIME JORDAN-BANACH ALGEBRAS - A ZELMANOVIAN TREATMENT
GARCIA, MC
PALACIOS, AR
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1994, 69 : 576 - 604
[44] Approximation of Jordan homomorphisms in Jordan-Banach algebras (Retraction of vol 6, pg 55, 2012)
Gordji, Madjid Eshaghi
Samani, Najmeh Karimipour
Park, Choonkil
MATHEMATICAL SCIENCES, 2015, 9 (01) : 57 - 57
[45] The range of a derivation on a Jordan-Banach algebra
Bresar, M
Villena, AR
STUDIA MATHEMATICA, 2001, 146 (02) : 177 - 200
[46] EXTENDING THE NORM FROM JORDAN-BANACH ALGEBRAS OF HERMITIAN ELEMENTS TO THEIR ASSOCIATIVE ENVELOPES
PALACIOS, AR
SLINKO, AM
ZELMANOV, EI
COMMUNICATIONS IN ALGEBRA, 1994, 22 (04) : 1435 - 1455
[47] Local Jordan *-derivations of standard operator algebras
Molnar, L
Semrl, P
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (02) : 447 - 454
[48] Surjective isometries between sets of invertible elements in unital Jordan-Banach algebras
Peralta, Antonio M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 502 (02)
[49] A NOTE ON (m, n)-JORDAN DERIVATIONS OF RINGS AND BANACH ALGEBRAS
Kosi-Ulbl, Irena
Vukman, Joso
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 93 (02) : 231 - 237
[50] JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I
Kim, Byung-Do
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (02): : 179 - 201

← 1 2 3 4 5 →