Let D be a derivation on a Banach algebra; by using the operator D2, we give necessary and sufficient conditions for the separating ideal of D to be nilpotent. We also introduce an ideal M(D) and apply it to find out more equivalent conditions for the continuity of D and for nilpotency of its separating ideal
AbstractWe consider the problem when the product of certain higher commutators arising from a fixed ...
Let A be a Banach algebra, and let E be a Banach A-bimodule. As is customary, we use the notation Z1...
AbstractThis paper studies the structure and continuity of derivations of the Banach algebra Cn(I) o...
Abstract unavailable at this time...Mathematics Subject Classification (2000): 46H99, 47B47. Key wor...
[[abstract]]Let A be a semisimple Banach algebra with a linear automorphism σ and let δ:I→A be a ...
AbstractLet D be a Lie derivation on a unital complex Banach algebra A. Then for every primitive ide...
The nilpotency of the separating subspace of an everywhere defined derivation on a Banach algebra is...
AbstractConditions are given for Banach algebras U and commutative Banach algebras B which insure th...
We present some conditions which imply that a derivation on a Banach algebra maps the algebra into i...
We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous...
The Singer-Wermer Conjecture states that if D is a (possibly un-bounded) derivation on a commutative...
We present some conditions which imply that a derivation on a Banach algebra maps the algebra into i...
ABSTRACT. Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to stu...
Abstract. Let A be a Banach algebra and M be a Banach A-bimodule. We say that a linear mapping δ: A ...
AbstractThis paper investigates conditions on a semisimple Banach algebra U and a Banach U-module M ...
AbstractWe consider the problem when the product of certain higher commutators arising from a fixed ...
Let A be a Banach algebra, and let E be a Banach A-bimodule. As is customary, we use the notation Z1...
AbstractThis paper studies the structure and continuity of derivations of the Banach algebra Cn(I) o...
Abstract unavailable at this time...Mathematics Subject Classification (2000): 46H99, 47B47. Key wor...
[[abstract]]Let A be a semisimple Banach algebra with a linear automorphism σ and let δ:I→A be a ...
AbstractLet D be a Lie derivation on a unital complex Banach algebra A. Then for every primitive ide...
The nilpotency of the separating subspace of an everywhere defined derivation on a Banach algebra is...
AbstractConditions are given for Banach algebras U and commutative Banach algebras B which insure th...
We present some conditions which imply that a derivation on a Banach algebra maps the algebra into i...
We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous...
The Singer-Wermer Conjecture states that if D is a (possibly un-bounded) derivation on a commutative...
We present some conditions which imply that a derivation on a Banach algebra maps the algebra into i...
ABSTRACT. Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to stu...
Abstract. Let A be a Banach algebra and M be a Banach A-bimodule. We say that a linear mapping δ: A ...
AbstractThis paper investigates conditions on a semisimple Banach algebra U and a Banach U-module M ...
AbstractWe consider the problem when the product of certain higher commutators arising from a fixed ...
Let A be a Banach algebra, and let E be a Banach A-bimodule. As is customary, we use the notation Z1...
AbstractThis paper studies the structure and continuity of derivations of the Banach algebra Cn(I) o...
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