A remark on (p, q)-absolutely summing operators in -spaces
A remark on p-integral and p-absolutely summing operators form into
A result of Haydon and its applications
A sequence space representation of the space of bounded ultradistributions of Beurling type.
Sequence space representations of the spaces DL1,(ω)(RN) and of its dual D'L1,(ω)(RN), the space of bounded ultradistributions of Beurling type, are presented, in case the weight ω is a strong weight.
A short proof of the theorem of Crone and Robinson on quasi-equivalence of regular bases
A splitting theory for the space of distributions
The splitting problem is studied for short exact sequences consisting of countable projective limits of DFN-spaces (*) 0 → F → X → G → 0, where F or G are isomorphic to the space of distributions D'. It is proved that every sequence (*) splits for F ≃ D' iff G is a subspace of D' and that, for ultrabornological F, every sequence (*) splits for G ≃ D' iff F is a quotient of D'
A theorem on matrices and its applications in functional analysis
A uniformly convex Banach space which contains no
A universal non-compact operator
A Universal Topology for Sequence Spaces.
About some parameters of normed linear spaces
Si prendono in considerazione particolari costanti relative alla struttura della sfera unitaria di uno spazio di Banach. Se ne studiano alcune generali proprietà, con particolare riferimento alle relazioni con il modulo di convessità dello spazio. Se ne fornisce inoltre una esatta valutazione negli spazi .
About the space , p > 0
Absolute and Ordinary Köthe-Toeplitz Duals of Some Sets of Sequences and Matrix Transformations
Abstract sliding hump technique and characterization of barrelled spaces
Acción dual de las copias, isométricas asintóticamente, de lp (1 ≤ p < ∞) y c0.
Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)
There is a nontrivial gap in the proof of Theorem 5.2 of [2] which is one of the main results of that paper and has been applied three times (cf. [2, Theorem 5.3, (G) in Section 6, Theorem 6.4]). Till now neither the gap has been closed nor a counterexample found. The aim of this paper is to give, by means of some general results, a better understanding of the gap. The proofs that the applications hold will be given elsewhere.
An application of the Nash-Moser theorem to ordinary differential equations in Fréchet spaces
A general existence and uniqueness result of Picard-Lindelöf type is proved for ordinary differential equations in Fréchet spaces as an application of a generalized Nash-Moser implicit function theorem. Many examples show that the assumptions of the main result are natural. Applications are given for the Fréchet spaces , , , , for Köthe sequence spaces, and for the general class of subbinomic Fréchet algebras.
An extension of a theorem of Rosenthal on operators acting from
An IntroduCtion into the Theory of Sequence Spaces and Measures of Noncompactness
An isomorphic characterization of the Schmidt class