Add to ORKGThe classical diametral dimension (Bessaga, Mityagin, Pelczynski, Rolewicz), denoted by "Delta", is a topological invariant which can be used to characterize Schwartz and nuclear locally convex spaces. Mityagin also introduced a variant of this diametral dimension, denoted by "Delta_b", using bounded sets in its definition, contrary to "Delta". In this talk, we present some conditions assuring the equality of these two diametral dimensions for Fréchet spaces. Among these conditions, there is the notion of existence of prominent bounded sets, due to Terzioglu. In fact, it appears that the existence of prominent sets is implied by the property "Omega Bar" of Vogt and Wagner. Finally, we describe a construction which gives Schwartz and nuclear...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
The "classic" diametral dimension is a topological invariant which characterizes Schwartz and nuclea...
This article provides new results concerning the equality between two diametral dimensions. It shows...
The diametral dimension is an important topological invariant, especially in the context of Köthe se...
Spaces Snu are metrizable sequence spaces defined by Jaffard in the context of multifractal analysis...
International audienceStemming from the study of signals via wavelet coefficients, the spaces S(nu) ...
Stemming from the study of signals via wavelet coefficients, the spaces S\nu are complete metrizable...
This paper investigates two topological invariants in the context of the sequence spaces Snu, which ...
We generalize some well-known results about the diametral dimension of classical Kothe spaces
The diametral dimension is a topological invariant on the class of topological vector spaces. Beside...
We present the definition and the main properties of the diametral dimension. We give an application...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
The "classic" diametral dimension is a topological invariant which characterizes Schwartz and nuclea...
This article provides new results concerning the equality between two diametral dimensions. It shows...
The diametral dimension is an important topological invariant, especially in the context of Köthe se...
Spaces Snu are metrizable sequence spaces defined by Jaffard in the context of multifractal analysis...
International audienceStemming from the study of signals via wavelet coefficients, the spaces S(nu) ...
Stemming from the study of signals via wavelet coefficients, the spaces S\nu are complete metrizable...
This paper investigates two topological invariants in the context of the sequence spaces Snu, which ...
We generalize some well-known results about the diametral dimension of classical Kothe spaces
The diametral dimension is a topological invariant on the class of topological vector spaces. Beside...
We present the definition and the main properties of the diametral dimension. We give an application...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...