The Riesz Aspects of χ2 Sequence Spaces
The Schur Lemma for Bounded Multiplier Convergent Series:
The second dual spaces of the sets of -strongly convergent and bounded sequences.
The space bv(p), its β-dual and matrix transformations.
The space and σ-core
We give some new properties of the space and we apply them to the σ-core theory. These results generalize those by Choudhary and Yardimci.
The spectrum of the discrete Cesàro operator
The splitting number can be smaller than the matrix chaos number
Let χ be the minimum cardinality of a subset of that cannot be made convergent by multiplication with a single Toeplitz matrix. By an application of a creature forcing we show that < χ is consistent. We thus answer a question by Vojtáš. We give two kinds of models for the strict inequality. The first is the combination of an ℵ₂-iteration of some proper forcing with adding ℵ₁ random reals. The second kind of models is obtained by adding δ random reals to a model of for some δ ∈ [ℵ₁,κ). It...
The Strong Topology on the Dual Space of a Summability Field and the Mu-Continuity Problem.
The -statistically convergent sequences are not an -space.
The topological structure of the set of subsums of an infinite series
The Weierstrass Mean. I. The periods of ...(z|e1, e2, e3).
The well-behaved Catalan and Brownian averages and their applications to real resummation.
The aim of this expository paper is to introduce the well-behaved uniformizing averages, which are useful in resummation theory. These averages associate three essential, but often antithetic, properties: respecting convolution; preserving realness; reproducing lateral growth. These new objects are serviceable in real resummation and we sketch two typical applications: the unitary iteration of unitary diffeomorphisms and the real normalization of real, local, analytic, vector fields.
The fuzzy numbers defined by a modulus
Theorems on strong summabillity.
Theorie und Anwendung der unendlichen Reihen [Book]
Thorems On Strong Summability
Three open problems and a conjecture
In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
Toeplitz Arrays, Linear Sequence Transformations and Orthogonal Polynomials.
Topological duals of some paranormed sequence spaces.
Topological results on sequences and their applications in the theory of trigonometric series