AbstractWe extend the result of A. Bellow (Proc. Nat. Acad. Sci. USA73, No. 6 (1976), 1798–1799) on the characterization of finite-dimensional Banach spaces, to a characterization of nuclearity for Fréchet spaces. Those spaces are nuclear iff every Pettis-bounded and Pettis-uniformly integrable amart is mean convergent. Several other characterizations are given
Let E be a Fréchet space, $\| \;\|_1≤ \|\;\| ≤ \ldots $ a fundamental system of seminorms on E and U...
Let (S, B, in) be a finite measure space. The aim of this paper is to give necessary and sufficient ...
In this study we observe that the Köthe spaces Klp(A) is nuclear when it is complementedly embedded ...
AbstractSeveral new characterizations of nuclearity in Fréchet spaces are proved. The most important...
Abstract. A recent result of the author [16] characterising a Banach space X as finite dimensional p...
We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smo...
AbstractThis paper contains manageable necessary and sufficient conditions for the nuclearity of a c...
Smooth sequence spaces λ(P) of infinite type of G∞-Spaces were introduced in [7] by Terzioglu as a g...
AbstractLet K be a non-archimedean, non-trivially valued, complete field. Given a polar space E, F o...
In this paper, we first prove the metric approximation property for weighted mixed-norm L-p spaces. ...
In this paper we prove the bounded approximation property for variable exponent Lebesgue spaces, stu...
AbstractA characterization of all the subspaces with basis of a stable, nuclear Lf(b, r)-space (r ∈ ...
AbstractA class of operators is introduced and referred to as nonlinear nuclear operators. As in the...
Abstract. It has been established that a DF-space having a fully-λ(P)-basis is λ(P)-nuclear wherein ...
AbstractIn a paper of the second author, a notion of nuclearity for the objects of an autonomous (or...
Let E be a Fréchet space, $\| \;\|_1≤ \|\;\| ≤ \ldots $ a fundamental system of seminorms on E and U...
Let (S, B, in) be a finite measure space. The aim of this paper is to give necessary and sufficient ...
In this study we observe that the Köthe spaces Klp(A) is nuclear when it is complementedly embedded ...
AbstractSeveral new characterizations of nuclearity in Fréchet spaces are proved. The most important...
Abstract. A recent result of the author [16] characterising a Banach space X as finite dimensional p...
We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smo...
AbstractThis paper contains manageable necessary and sufficient conditions for the nuclearity of a c...
Smooth sequence spaces λ(P) of infinite type of G∞-Spaces were introduced in [7] by Terzioglu as a g...
AbstractLet K be a non-archimedean, non-trivially valued, complete field. Given a polar space E, F o...
In this paper, we first prove the metric approximation property for weighted mixed-norm L-p spaces. ...
In this paper we prove the bounded approximation property for variable exponent Lebesgue spaces, stu...
AbstractA characterization of all the subspaces with basis of a stable, nuclear Lf(b, r)-space (r ∈ ...
AbstractA class of operators is introduced and referred to as nonlinear nuclear operators. As in the...
Abstract. It has been established that a DF-space having a fully-λ(P)-basis is λ(P)-nuclear wherein ...
AbstractIn a paper of the second author, a notion of nuclearity for the objects of an autonomous (or...
Let E be a Fréchet space, $\| \;\|_1≤ \|\;\| ≤ \ldots $ a fundamental system of seminorms on E and U...
Let (S, B, in) be a finite measure space. The aim of this paper is to give necessary and sufficient ...
In this study we observe that the Köthe spaces Klp(A) is nuclear when it is complementedly embedded ...
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