A bounded consistency theorem for strong summabilities.
A complex Tauberian theorem and mean ergodic semigroups.
A new class of sequence spaces with applications in summability theory.
A new proof of multisummability of formal solutions of non linear meromorphic differential equations
We give a new proof of multisummability of formal power series solutions of a non linear meromorphic differential equation. We use the recent Malgrange-Ramis definition of multisummability. The first proof of the main result is due to B. Braaksma. Our method of proof is very different: Braaksma used Écalle definition of multisummability and Laplace transform. Starting from a preliminary normal form of the differential equationthe idea of our proof is to interpret a formal power series solution...
A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations.
A summability integral.
Absolute and Ordinary Köthe-Toeplitz Duals of Some Sets of Sequences and Matrix Transformations
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 example of nonlinear -difference equation
An extension of Brudno-Mazur-Orlicz theorem
An Extension of Cauchy's Criterion to Nörlund Summability.
An IntroduCtion into the Theory of Sequence Spaces and Measures of Noncompactness
Asymptotic properties of convolution products of sequences.
Best order conditions in linear spaces, with applications to limitation, inclusion and high indices theorems for ordinary and absolute Riesz means
Bounded variation sequences of order k and the representation of null sequences.
Calculations in new sequence spaces
In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index of -th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.
Characterization of certain matrix classes involving generalized difference summability spaces.
Degrés de liberté des moyennes de convolution préservant la réalité
Difference sequence spaces.
Distinguished subsets and summability invariants