Automatic continuity of almost 3-homomorphisms and almost 3-Jordan homomorphisms

We prove that each surjective Jordan homomorphism from a Banach algebra [Formula: see text] onto a semiprime commutative Banach algebra [Formula: see text] is a homomorphism, and each 5-Jordan homomorphism from a unital Banach algebra [Formula: see text] into a semisimple commutative Banach algebra [Formula: see text] is a 5-homomorphism.

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Sur la continuité automatique des épimorphismes dans les☆-algèbres de Banach

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171204013006 ◽

2004 ◽

Vol 2004 (22) ◽

pp. 1183-1187

Author(s):

L. Oukhtite ◽

A. Tajmouati ◽

Y. Tidli

Keyword(s):

Banach Algebras ◽

Automatic Continuity ◽

Nous Obtenons

Nous étudions les problèmes de continuité automatique dans des algèbres de Banach avec involutions. Nous obtenons aussi des nouveoux résultats concernant☆-idéals des☆-algèbres.We study the automatic continuity problems for Banach algebras with involutions. We also obtain some new results concerning☆-ideals of☆-algebras.

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Jordan homomorphisms of the structural matrix algebras

Linear and Multilinear Algebra ◽

10.1080/03081087.2015.1023177 ◽

2015 ◽

Vol 63 (12) ◽

pp. 2518-2525 ◽

Cited By ~ 2

Author(s):

E. Akkurt ◽

M. Akkurt ◽

G.P. Barker

Keyword(s):

Matrix Algebras ◽

Jordan Homomorphisms ◽

Structural Matrix

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Derivations as a generalization of Jordan homomorphisms on Lie ideals and non-commutative Banach algebras

Boletín de la Sociedad Matemática Mexicana ◽

10.1007/s40590-015-0071-9 ◽

2015 ◽

Vol 22 (1) ◽

pp. 117-124

Author(s):

Shervin Sahebi ◽

Venus Rahmani

Keyword(s):

Banach Algebras ◽

Commutative Banach Algebras ◽

Jordan Homomorphisms

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A note on Automatic continuity of $$(\psi , \phi)$$-derivations

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/s12215-021-00661-3 ◽

2021 ◽

Author(s):

Amin Hosseini

Keyword(s):

Automatic Continuity

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On the image, characterization, and automatic continuity of $$\varvec{(\sigma }, \varvec{\tau }$$ ( σ , τ )-derivations

Archiv der Mathematik ◽

10.1007/s00013-017-1082-8 ◽

2017 ◽

Vol 109 (5) ◽

pp. 461-469 ◽

Cited By ~ 1

Author(s):

Amin Hosseini

Keyword(s):

Automatic Continuity

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Automatic Continuity of Separating Linear Isomorphisms

Canadian Mathematical Bulletin ◽

10.4153/cmb-1990-024-2 ◽

1990 ◽

Vol 33 (2) ◽

pp. 139-144 ◽

Cited By ~ 61

Author(s):

Krzysztof Jarosz

Keyword(s):

Automatic Continuity ◽

Linear Map

AbstractA linear map A : C(T) → C(S) is called separating if f • g ≡ 0 implies Af • Ag = 0. We describe the general form of such maps and prove that any separating isomorphism is continuous.

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