summary:Let $\mathcal {A}$ be a commutative complex semisimple Banach algebra. Denote by ${\rm kh}({\rm soc}(\mathcal {A}))$ the kernel of the hull of the socle of $\mathcal {A}$. In this work we give some new characterizations of this ideal in terms of minimal idempotents in $\mathcal {A}$. This allows us to show that a ``result'' from Riesz theory in commutative Banach algebras is not true
[[abstract]]Let A be a semisimple Banach algebra with a linear automorphism σ and let δ:I→A be a ...
In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and...
The BSE-extension introduced by the auothor and O. Hatori in 1990 is one of commutative extension fo...
summary:Let $\mathcal {A}$ be a commutative complex semisimple Banach algebra. Denote by ${\rm kh}({...
Let A be a commutative semi-simple Banach algebra such that the set consisting of finite sums of ele...
In this paper, we explain the problem of classifying semisimple commutative Banach algebras from the...
Let A be a semi-prime Banach algebra. By an ideal in A we shall always mean a two-sided ideal unless...
AbstractIt is shown that M-ideals in a Banach algebra with identity are subalgebras, and that they a...
M. R. F. Smyth proved in [9, Theorem 3.2] that the socle of a semiprimitive Banach complex algebra c...
Abstract. Let T be a surjective map from a unital semi-simple commutative Banach algebra A onto a un...
This thesis is a collection of theorems which say something about the following question: if we know...
AbstractLet T be a surjective map from a unital semi-simple commutative Banach algebra A onto a unit...
It is shown that if the socle soc(A) of a semisimple Banach algebra A is norm-closed, then soc(A) is...
This is a prospect for the problem of classifying Banach modules over a semisimple commutative Banac...
AbstractM-ideals in a commutative Banach algebra A are shown to correspond to certain hermitian cent...
[[abstract]]Let A be a semisimple Banach algebra with a linear automorphism σ and let δ:I→A be a ...
In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and...
The BSE-extension introduced by the auothor and O. Hatori in 1990 is one of commutative extension fo...
summary:Let $\mathcal {A}$ be a commutative complex semisimple Banach algebra. Denote by ${\rm kh}({...
Let A be a commutative semi-simple Banach algebra such that the set consisting of finite sums of ele...
In this paper, we explain the problem of classifying semisimple commutative Banach algebras from the...
Let A be a semi-prime Banach algebra. By an ideal in A we shall always mean a two-sided ideal unless...
AbstractIt is shown that M-ideals in a Banach algebra with identity are subalgebras, and that they a...
M. R. F. Smyth proved in [9, Theorem 3.2] that the socle of a semiprimitive Banach complex algebra c...
Abstract. Let T be a surjective map from a unital semi-simple commutative Banach algebra A onto a un...
This thesis is a collection of theorems which say something about the following question: if we know...
AbstractLet T be a surjective map from a unital semi-simple commutative Banach algebra A onto a unit...
It is shown that if the socle soc(A) of a semisimple Banach algebra A is norm-closed, then soc(A) is...
This is a prospect for the problem of classifying Banach modules over a semisimple commutative Banac...
AbstractM-ideals in a commutative Banach algebra A are shown to correspond to certain hermitian cent...
[[abstract]]Let A be a semisimple Banach algebra with a linear automorphism σ and let δ:I→A be a ...
In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and...
The BSE-extension introduced by the auothor and O. Hatori in 1990 is one of commutative extension fo...
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